Mathematics Faculty: Publications since January 2012
List all publications in the database. :chronological combined listing:
%% Addington, Nicolas
@article{fds212449,
Author = {N. Addington and R. P. Thomas},
Title = {Hodge theory and derived categories of cubic
fourfolds},
Year = {2012},
Month = {November},
url = {http://arxiv.org/abs/1211.3758},
Key = {fds212449}
}
@article{fds212450,
Author = {N. Addington and E. Segal and E. Sharpe},
Title = {D-brane probes, branched double covers, and noncommutative
resolutions},
Year = {2012},
Month = {November},
url = {http://arxiv.org/abs/1211.2446},
Key = {fds212450}
}
%% Aristotelous, Andreas
@article{fds212841,
Author = {Andreas C. Aristotelous and Ohannes A. Karakashian and Steven
M.Wise},
Title = {A primitive variable discontinuous Galerkin Method for the
modified Cahn-Hilliard Equation},
Journal = {J. Sci. Comp.},
Year = {2012},
Month = {December},
Key = {fds212841}
}
@article{fds212842,
Author = {Andreas C. Aristotelous and Ohannes A. Karakashian and Steven
M.Wise},
Title = {A Mixed Discontinuous Galerkin, Convex Splitting Scheme for
the Cahn-Hilliard Equation},
Journal = {SIAM J. Numer. Anal.},
Year = {2012},
Month = {September},
Key = {fds212842}
}
%% Aspinwall, Paul S
@article{fds212421,
Author = {P.S. Aspinwall},
Title = {Some Applications of Commutative Algebra to String
Theory},
Booktitle = {Commutative Algebra, Expository Papers Dedicated to David
Eisenbud on the Occasion of His 65th Birthday},
Year = {2012},
Abstract = {The topological B-model, which is a simplified model of
string theory, is essentially algebraic in nature. We
describe how some calculations in this model may be
performed using methods of commutative algebra. In
particular, we consider the B-model associated with a
Calabi– Yau threefold in the form of a complete
intersection in a toric variety. There is a category of
D-branes associated to matrix factorizations, and we show
how to compute certain products and some Hochschild
cohomology associated to this category. Mirror symmetry and
the notion of stability lead to a notion of monodromy on
this D-brane category. In general this monodromy can be
awkward to compute, but we show how much of the
combinatorial data associated to the monodromy can be
accessed using commutative algebra.},
Key = {fds212421}
}
@article{fds212418,
Author = {P.S. Aspinwall and D.R. Morrison},
Title = {Quivers from Matrix Factorizations},
Journal = {Commun Math Phys},
Volume = {313},
Pages = {607-633},
Year = {2012},
url = {http://arxiv.org/abs/1005.1042},
Abstract = {We discuss how matrix factorizations offer a practical
method of computing the quiver and associated superpotential
for a hypersurface singularity. This method also yields
explicit geometrical interpretations of D-branes (i.e.,
quiver representations) on a resolution given in terms of
Grassmannians. As an example we analyze some non-toric
singularities which are resolved by a single CP1 but have
"length" greater than one. These examples have a much richer
structure than conifolds. A picture is proposed that relates
matrix factorizations in Landau-Ginzburg theories to the way
that matrix factorizations are used in this paper to perform
noncommutative resolutions.},
Key = {fds212418}
}
@article{fds212419,
Author = {P.S. Aspinwall and M.R. Plesser},
Title = {Elusive Worldsheet Instantons in Heterotic String
Compactifications},
Volume = {85},
Pages = {33-52},
Booktitle = {Proceedings of Symposia in Pure Mathematics},
Year = {2012},
url = {http://arxiv.org/abs/1106.2998},
Key = {fds212419}
}
@article{fds212420,
Author = {Paul S. Aspinwall and Ilarion V. Melnikov and M. Ronen
Plesser},
Title = {(0,2) Elephants},
Journal = {Journal of High Energy Physics},
Volume = {1201},
Pages = {060},
Year = {2012},
url = {http://arxiv.org/abs/1008.2156},
Key = {fds212420}
}
%% Bar-On, Rann
@article{fds178687,
Author = {R. Bar-On},
Title = {105L-106L Coursepack, Fall 2012 and Spring
2013},
Year = {2012},
Month = {August},
Key = {fds178687}
}
@article{fds205138,
Author = {Rann Bar-On and Jack Bookman and Benjamin Cooke and Donna Hall and Sarah
Schott},
Title = {(Re)discovering SoTL Through a Fundamental Challenge:
Helping Students Transition to College Calculus},
Year = {2012},
Keywords = {SoTL calculus undergraduate education},
Abstract = {Teaching and learning occur both inside and outside of the
classroom, but undergraduates' transition to college
mathematics are affected by many factors outside of the
classroom. A collaboration at Duke between mathematics
faculty and the Academic Resource Center (ARC) originally
designed to fill knowledge gaps gradually adapted into a
tool to help less well-prepared students transition to the
calculus curriculum. The collaboration to monitor student
progress and the adaptation of research tools grew initial
voluntary algebra review sessions into an algebra review and
study group program that supports students through the two
course sequence of Laboratory Calculus with Functions I and
II. The collaborators have applied for an NSF grant proposal
to transition the program into the structure of the course
labs to build a formative feedback loop between the
students, undergraduate TAs, and mathematics and ARC
instructors. The grant proposal builds on a collaboration
between the ARC and Chemistry faculty to help pre-med
students navigate a four-course Chemistry sequence through
Organic Chemistry, which trains TAs to monitor not only
content understanding, but self-regulation and metacognitive
development.},
Key = {fds205138}
}
%% Beale, J. Thomas
@article{fds215714,
Author = {S. Tlupova and J. T. Beale},
Title = {Nearly singular integrals in 3D Stokes flow},
Journal = {Commun. Comput. Phys.},
Year = {2013},
url = {http://www.math.duke.edu/faculty/beale/papers/stokes3d2.pdf},
Key = {fds215714}
}
@article{fds215715,
Author = {W. Ying and J. T. Beale},
Title = {A fast accurate boundary integral method for potentials on
closely packed cells},
Journal = {Commun. Comput. Phys.},
Year = {2013},
url = {http://www.math.duke.edu/faculty/beale/papers/cpcells2.pdf},
Key = {fds215715}
}
@article{fds205186,
Author = {A. T. Layton and J. T. Beale},
Title = {A partially implicit hybrid method for computing interface
motion in Stokes flow},
Journal = {Discrete and Continuous Dynamical Systems
B},
Volume = {17},
Pages = {1139-53},
Year = {2012},
url = {http://www.math.duke.edu/faculty/beale/papers/dcdsb.pdf},
Key = {fds205186}
}
@article{fds212144,
Author = {J. T. Beale},
Title = {Partially implicit motion of a sharp interface in
Navier-Stokes flow},
Journal = {J. Comput. Phys.},
Volume = {231},
Pages = {6159-72},
Year = {2012},
url = {http://www.math.duke.edu/faculty/beale/papers/pimpl2.pdf},
Key = {fds212144}
}
%% Bendich, Paul L.
@article{fds212578,
Author = {P.L. Bendich and Jacob Harer and John Harer},
Title = {A Persistent Homology Based Geodesic Distance
Estimator},
Year = {2012},
Key = {fds212578}
}
@article{fds194879,
Author = {P.L. Bendich and Bei Wang and Sayan Mukherjee},
Title = {Local Homology Transfer and Stratification
Learning},
Journal = {Proc. of 24th Sympos. on Discrete Algorithms},
Year = {2012},
Key = {fds194879}
}
%% Berkesch, Christine
@article{fds211711,
Author = {C. Berkesch and D. Erman and M. Kummini},
Title = {Three flavors of extremal Betti tables},
Year = {2012},
url = {http://arxiv.org/abs/1207.5707},
Key = {fds211711}
}
@article{fds211709,
Author = {C. Berkesch and J. Burke and D. Erman and C. Gibbons},
Title = {The cone of Betti diagrams over a hypersurface ring of low
embedding dimension},
Journal = {J. Pure Applied Algebra},
Volume = {216},
Pages = {2256--2268},
Year = {2012},
url = {http://arxiv.org/abs/1109.5198},
Key = {fds211709}
}
%% Bertozzi, Andrea L
@booklet{Greer04a,
Author = {J. B. Greer and A. L. Bertozzi},
Title = {H-1 solutions of a class of fourth order nonlinear equations
for image processing},
Journal = {Discrete And Continuous Dynamical Systems},
Volume = {10},
Number = {1-2},
Pages = {349 -- 366},
Year = {2004},
Key = {Greer04a}
}
%% Blake, Lewis D
@book{fds212854,
Author = {Lewis Blake and Michael Reed},
Title = {Laboratory Calculus (2012-2013)},
Year = {2012},
Month = {August},
Key = {fds212854}
}
%% Bobrowski, Omer
@article{fds212855,
Author = {O. Bobrowski and M. S. Borman},
Title = {Euler Integration of Gaussian Random Fields and Persistent
Homology},
Journal = {Journal of Topology and Analysis},
Volume = {4},
Number = {1},
Year = {2012},
ISSN = {1793-5253},
Key = {fds212855}
}
%% Bookman, Jack
@article{fds199885,
Author = {Emily Decker Lardner and Jack Bookman},
Title = {Lessons Learned in Interdisciplinary Professional
Development Designed to Promote the Teaching of Quantitative
Literacy},
Journal = {Journal of Faculty Development},
Year = {2012},
Key = {fds199885}
}
%% Bouvrie, Jake
@proceedings{fds208779,
Author = {J. Bouvrie and B. Hamzi},
Title = {Empirical Estimators for Stochastically Forced Nonlinear
Systems: Observability, Controllability and the Invariant
Measure},
Booktitle = {Proc. American Control Conference (ACC)},
Year = {2012},
Key = {fds208779}
}
@article{fds208780,
Author = {M. Raginsky and J. Bouvrie},
Title = {Continuous-Time Stochastic Mirror Descent on a Network:
Variance Reduction, Consensus, Convergence},
Booktitle = {Proc. IEEE Conference on Decision and Control
(CDC)},
Year = {2012},
Key = {fds208780}
}
@article{fds208781,
Author = {J. Bouvrie and M. Maggioni},
Title = {Geometric Multiscale Reduction for Autonomous and Controlled
Nonlinear Systems},
Booktitle = {Proc. IEEE Conference on Decision and Control
(CDC)},
Year = {2012},
Key = {fds208781}
}
@article{fds208783,
Author = {J. Bouvrie and J.-J.E. Slotine},
Title = {Synchronization can Control Regularization in Neural Systems
via Correlated Noise Processes},
Booktitle = {Proc. Advances in Neural Information Processing Systems
(NIPS) 25},
Year = {2012},
Key = {fds208783}
}
@article{fds208784,
Author = {J. Bouvrie and M. Maggioni},
Title = {Efficient Solution of Markov Decision Problems with
Multiscale Representations},
Booktitle = {Proc. 50th Annual Allerton Conference on Communication,
Control, and Computing},
Year = {2012},
Key = {fds208784}
}
%% Bray, Hubert L.
@article{fds214520,
Author = {H.L. Bray and A. R. Parry},
Title = {Modeling Wave Dark Matter in Dwarf Elliptical
Galaxies},
Year = {2013},
Month = {January},
url = {http://www.math.duke.edu/~bray/darkmatter/darkmatter.html},
Key = {fds214520}
}
@article{fds214519,
Author = {H.L. Bray},
Title = {On Wave Dark Matter, Shells in Elliptical Galaxies, and the
Axioms of General Relativity},
Year = {2012},
Month = {December},
url = {http://www.math.duke.edu/~bray/darkmatter/darkmatter.html},
Key = {fds214519}
}
@article{fds206452,
Author = {H.L. Bray and J.L. Jauregui},
Title = {A Geometric Theory of Zero Area Singularities in General
Relativity},
Journal = {Asian Journal of Mathematics},
Year = {2012},
url = {http://arxiv.org/abs/0909.0522v1},
Key = {fds206452}
}
@article{fds213418,
Author = {H.L. Bray},
Title = {On Dark Matter, Spiral Galaxies, and the Axioms of General
Relativity},
Journal = {AMS Contemporary Mathematics Volume},
Year = {2012},
url = {http://www.math.duke.edu/~bray/darkmatter/darkmatter.html},
Key = {fds213418}
}
%% Cederbaum, Carla
@article{fds209860,
Author = {Carla Cederbaum},
Title = {The Geometry of Static Spacetimes: Geometrostatics},
Year = {2012},
Month = {July},
url = {http://www.mfo.de/occasion/1231/www_view},
Key = {fds209860}
}
@article{fds214844,
Author = {Carla Cederbaum},
Title = {Geometrostatics: the geometry of static space-times},
Journal = {Conference Proceedings "Relativity and Gravitation -- 100
years after Einstein in Prague"},
url = {http://arxiv.org/abs/1210.4436},
Abstract = {We present a new geometric approach to the study of static
isolated general relativistic systems for which we suggest
the name geometrostatics. After describing the setup, we
introduce localized formulas for the ADM-mass and
ADM/CMC-center of mass of geometrostatic systems. We then
explain the pseudo-Newtonian character of these formulas and
show that they converge to Newtonian mass and center of mass
in the Newtonian limit, respectively, using Ehlers' frame
theory. Moreover, we present a novel physical interpretation
of the level sets of the canonical lapse function and apply
it to prove uniqueness results. Finally, we suggest a notion
of force on test particles in geometrostatic
space-times.},
Key = {fds214844}
}
%% Chen, Guangliang
@article{fds212068,
Author = {G. Chen and M. Iwen and S. Chin and M. Maggioni},
Title = {A Fast Multiscale Framework for Data in High Dimensions:
Measure Estimation, Anomaly Detection, and Compressive
Measurements},
Booktitle = {Proceedings of Visual Communications and Image Processing
(VCIP)},
Address = {San Diego, CA},
Year = {2012},
Month = {November},
Key = {fds212068}
}
@article{fds212066,
Author = {G. Chen and A.V. Little and M. Maggioni},
Title = {Multi-Resolution Geometric Analysis for Data in High
Dimensions},
Booktitle = {Excursions in Harmonic Analysis},
Publisher = {Springer},
Year = {2012},
Month = {September},
Key = {fds212066}
}
@article{fds199061,
Author = {W.K. Allard and G. Chen and M. Maggioni},
Title = {Multiscale Geometric Methods for Data Sets II: Geometric
Multi-Resolution Analysis},
Journal = {Applied and Computational Harmonic Analysis},
Volume = {32},
Number = {3},
Pages = {435-462},
Year = {2012},
Month = {May},
url = {http://dx.doi.org/10.1016/j.acha.2011.08.001},
Doi = {10.1016/j.acha.2011.08.001},
Key = {fds199061}
}
%% Cornwell, Christopher R
@article{fds212693,
Author = {C.R. Cornwell},
Title = {A polynomial invariant for links in lens
spaces},
Journal = {J. Knot Theory and its Ramifications},
Volume = {21},
Number = {2},
Year = {2012},
url = {http://arxiv.org/abs/math/1002.1543},
Key = {fds212693}
}
%% Daubechies, Ingrid
@article{fds215103,
Author = {B. Cornelis and T.Ruzic, E.Gezels and A.Dooms, A.Pizurica and L.Platisa, J.Cornelis and M. Martens and M.DeMey, I.Daubechies},
Title = {Crack detection and inpainting for virtual restoration of
paintings: The case of the Ghent Altarpiece},
Journal = {Signal Processing},
Volume = {93},
Pages = {605-619},
Publisher = {Elsevier},
Year = {2013},
url = {http://www.sciencedirect.com/science/article/pii/S0165168412002526},
Abstract = {Digital image processing is proving to be of great help in
the analysis and documenta- tion of our vast cultural
heritage. In this paper, we present a new method for the
virtual restoration of digitized paintings with
specialattention for the Ghent Altarpiece (1432), a large
polyptych panel painting of which very few digital
reproductions exist. We achieve our objective by detecting
and digitally removing cracks. The detection of cracks is
particularly difficult because of the varying content
features in different parts of the polyptych. Three new
detection methods are proposed and combined in order to
detect cracks of different sizes as well as varying
brightness. Semi-supervised clustering based post-processing
is used to remove objects falsely labelled as cracks. For
the subsequent inpainting stage, a patch-based technique is
applied to handle the noisy nature of the images and to
increase the performance for crack removal. We demonstrate
the usefulness of our method by means of a case study where
the goal is to improve readability of the depiction of text
in a book, present in one of the panels, in order to assist
paleographers in its deciphering.},
Key = {fds215103}
}
@article{fds215104,
Author = {I. Daubechies},
Title = {Developing Mathematical Tools to Investigate
Art},
Booktitle = {Bridges 2012 Proceedings},
Publisher = {Jacobs Publishing},
Address = {http://www.mathartfun.com},
Editor = {Robert Bosch and Douglas McKenna and Reza Sarhangi},
Year = {2012},
Abstract = {This paper tells the history of a project investigating
authenticity and forgery in Van Gogh paintings using
mathematical tools based on wavelet transformations.},
Key = {fds215104}
}
@article{fds215106,
Author = {G. Polatkan and M. Zhou and L. Carin and D. Blei and I.
Daubechies},
Title = {A Bayesian nonparametric approach to image
super-resolution},
Year = {2012},
url = {http://arxiv.org/abs/1209.5019},
Abstract = {Super-resolution methods form high-resolution images from
low-resolution images. In this paper, we develop a new
Bayesian nonparametric model for super-resolution. Our
method uses a beta-Bernoulli process to learn a set of
recurring visual patterns, called dictionary elements, from
the data. Because it is nonparametric, the number of
elements found is also determined from the data. We test the
results on both benchmark and natural images, comparing with
several other models from the research literature. We
perform large-scale human evaluation experiments to assess
the visual quality of the results. In a first
implementation, we use Gibbs sampling to approximate the
posterior. However, this algorithm is not feasible for
large-scale data. To circumvent this, we then develop an
online variational Bayes (VB) algorithm. This algorithm
finds high quality dictionaries in a fraction of the time
needed by the Gibbs sampler.},
Key = {fds215106}
}
%% Di Cerbo, Luca F.
@article{fds215945,
Author = {G. Di Cerbo and L.F. Di Cerbo},
Title = {Positivity questions in K\"ahler-Einstein
theory},
Year = {2013},
Month = {February},
Key = {fds215945}
}
@article{fds215526,
Author = {G. Di Cerbo and L.F. Di Cerbo},
Title = {Effective results for complex hyperbolic
manifolds},
Year = {2013},
Month = {February},
Key = {fds215526}
}
@article{fds209868,
Author = {L.F. Di Cerbo},
Title = {Generic Properties of Homogeneous Ricci Solitons},
Journal = {Adv. Geom.},
Year = {2012},
Month = {July},
Key = {fds209868}
}
@article{fds209869,
Author = {L.F. Di Cerbo},
Title = {On K\"ahler-Einstein surfaces with edge singularities},
Year = {2012},
Month = {May},
Key = {fds209869}
}
@article{fds197097,
Author = {L.F. Di Cerbo},
Title = {Finite-volume complex surfaces without cuspidal Einstein
metrics},
Journal = {Ann. Glob. Anal. Geom.},
Volume = {41},
Number = {3},
Pages = {371-380},
Year = {2012},
url = {http://www.springerlink.com/content/j545g78172905525/},
Key = {fds197097}
}
@article{fds204868,
Author = {L.F. Di Cerbo},
Title = {Finite-volume complex-hyperbolic surfaces, their toroidal
compactifications, and geometric applications},
Journal = {Pacific J. Math.},
Volume = {255},
Number = {2},
Pages = {305-315},
Year = {2012},
Key = {fds204868}
}
%% Durrett, Rick
@article{fds211316,
Author = {R. Durrett and S. Chatterjee},
Title = {A first order phase transition in the threshold theta
contact process on random r-regular graphs and
trees},
Journal = {Stoch. Proc. Appl.},
Year = {2012},
Key = {fds211316}
}
@article{fds211317,
Author = {K. Danesh and R. Durrett and L. Havrilesky and E.
Myers},
Title = {A branching process model of ovarian cancer},
Journal = {J. Theor. Biol.},
Year = {2012},
Key = {fds211317}
}
@article{fds211319,
Author = {R. Durrett},
Title = {Phase transition in a meta-population version of Schelling's
model},
Year = {2012},
Key = {fds211319}
}
@article{fds211320,
Author = {R. Durrett and J. Foo and K. Leder},
Title = {Spatial Moran Models II. Tumor growth and
progression},
Year = {2012},
Key = {fds211320}
}
@article{fds204949,
Author = {R. Durrett and D. Remenik},
Title = {Evolution of dispersal distance},
Journal = {J. Mathematical Biology},
Volume = {64},
Pages = {657-666},
Year = {2012},
Key = {fds204949}
}
@article{fds183993,
Author = {R. Durrett and S. Moseley},
Title = {Spatial Moran Models. I. Tunneling in the Neutral
Case},
Year = {2012},
Key = {fds183993}
}
@article{fds204952,
Author = {R. Durrett and J.P. Gleeson and A.L. Lloyd and P.J. Mucha and Feng Shi and D. Sivakoff and J.E.S. Socoloar and C. Varghese},
Title = {Graph fission in an evolving voter model},
Journal = {Proceedings of the National Academy of Science},
Volume = {109},
Pages = {3682-3687},
Year = {2012},
Key = {fds204952}
}
%% Gerber, Samuel
@article{fds211433,
Author = {S. Gerber and R. Whitaker},
Title = {Regularization Free Princpal Curve Estimation},
Journal = {JMLR},
Year = {2012},
Month = {Winter},
Key = {fds211433}
}
@article{fds211434,
Author = {K. Potter and S. Gerber and E. Anderson},
Title = {Uncertainty Visualization without a Mean},
Journal = {Visualization Viewpoints},
Year = {2012},
Month = {Summer},
Key = {fds211434}
}
@article{fds211435,
Author = {S. Gerber and K. Potter},
Title = {Data Analysis with the Morse-Smale Complex: The msr Package
for R},
Journal = {Journal of Statistical Software},
Year = {2012},
Month = {July},
Key = {fds211435}
}
@article{fds211436,
Author = {S. Gerber and O. Ruebel and P.-T. Bremer and V. Pascucci and R.
Whitaker},
Title = {Morse-Smale Regression},
Journal = {Journal of Computational and Graphical Statistics},
Year = {2012},
Month = {Spring},
Key = {fds211436}
}
%% Getz, Jayce R.
@article{fds215934,
Author = {J.R. Getz and J. Klassen},
Title = {Isolating Rankin-Selberg lifts},
Year = {2013},
Key = {fds215934}
}
@book{fds212122,
Author = {J.R. Getz and M. Goresky},
Title = {Hilbert modular forms with coefficients in intersection
homology and quadratic base change},
Volume = {298},
Booktitle = {Progress in Mathematics},
Publisher = {Birkhauser},
Year = {2012},
Key = {fds212122}
}
@article{fds212114,
Author = {J.R. Getz},
Title = {An approach to nonsolvable base change and
descent},
Journal = {Journal of the Ramanujan Mathematical Society},
Volume = {27},
Number = {2},
Pages = {143-211},
Year = {2012},
url = {http://www.math.duke.edu/~jgetz/ApproachJRMS.pdf},
Abstract = {We present a collection of conjectural trace identities and
explain why they are equivalent to base change and descent
of automorphic representations of GL(n) along nonsolvable
extensions (under some simplifying hypotheses). The case n =
2 is treated in more detail and applications towards the
Artin conjecture for icosahedral Galois representations are
given.},
Key = {fds212114}
}
@article{fds212113,
Author = {J.R. Getz and E. Wambach},
Title = {Twisted relative trace formulae with a view towards unitary
groups},
Journal = {AJM},
Year = {2012},
url = {http://www.math.duke.edu/~jgetz/BCRT_Final_AJM.pdf},
Abstract = {We introduce a twisted relative trace formula which
simultaneously generalizes the twisted trace formula of
Langlands et. al. (in the quadratic case) and the relative
trace formula of Jacquet and Lai [JL]. Certain matching
statements relating this twisted relative trace formula to a
relative trace formula are also proven (including the
relevant fundamental lemma in the "biquadratic case"). Using
recent work of Jacquet, Lapid and their collaborators [J1]
and the Rankin-Selberg integral representation of the Asai
L-function (obtained by Flicker using the theory of Jacquet,
Piatetskii-Shapiro, and Shalika [Fl2]), we give the
following application: Let E/F be a totally real quadratic
extension, let U' be a quasi-split unitary group with
respect to a CM extension M/F, and let U := U'_E. Under
suitable local hypotheses, we show that a cuspidal
cohomological automorphic representation of U whose Asai
L-function has a pole at the edge of the critical strip is
nearly equivalent to a cuspidal cohomological automorphic
representation 0 of U that is U'-distinguished in the
sense that there is a form in the space of 0 admitting a
nonzero period over U. This provides cohomologically
nontrivial cycles of middle dimension on unitary Shimura
varieties analogous to those on Hilbert modular surfaces
studied by Harder, Langlands, and Rapoport
[HLR].},
Key = {fds212113}
}
@article{fds212115,
Author = {J.R. Getz and H. Hahn},
Title = {Algebraic cycles and Tate classes on Hilbert modular
varieties},
Year = {2012},
Abstract = {Let E be a totally real number field that is Galois, and
consider a cuspidal, nondihedral automorphic representation
of GL(2) over E that is in the lowest weight discrete series
at every real place of E. The representation cuts out a
``motive'' M from the l-adic middle degree intersection
cohomology of an appropriate Hilbert modular variety. If l
is sufficiently large in a sense that depends on the
representation we compute the dimension of the space of Tate
classes in M. Moreover if the space of Tate classes on this
motive over all finite abelian extensions k/E is at most of
rank one as a Hecke module, we prove that the space of Tate
classes in M is spanned by algebraic cycles.},
Key = {fds212115}
}
%% Hahn, Heekyoung
@article{fds211550,
Author = {J. R. Getz and H. Hahn},
Title = {Algebraic cycles and Tate classes on Hilbert modular
varieties},
Year = {2012},
Key = {fds211550}
}
@article{fds211551,
Author = {S. Akhtari and C. David and H. Hahn and L. Thompson},
Title = {Distribution of square-free values of sequences associated
with elliptic curves},
Year = {2012},
Key = {fds211551}
}
%% Hain, Richard M
@article{fds217203,
Author = {Richard Hain},
Title = {Genus 3 Mapping Class Groups are not Kähler},
Year = {2013},
Month = {May},
url = {http://arxiv.org/abs/1305.2052},
Key = {fds217203}
}
@article{fds217200,
Author = {Richard Hain},
Title = {Normal Functions and the Geometry of Moduli Spaces of
Curves},
Volume = {I},
Pages = {527-578},
Booktitle = {Handbook of Moduli},
Publisher = {International Press},
Editor = {Gavril Farkas and Ian Morrison},
Year = {2013},
Month = {March},
url = {http://arxiv.org/abs/1102.4031},
Key = {fds217200}
}
@article{fds217199,
Author = {Richard Hain},
Title = {Remarks on non-abelian cohomology of proalgebraic
groups},
Journal = {J. Algebraic Geom.},
Volume = {22},
Pages = {581-598},
Year = {2013},
url = {http://arxiv.org/abs/1009.3662},
Key = {fds217199}
}
@article{fds205707,
Author = {Richard Hain},
Title = {Monodromy of codimension-one sub-families of universal
curves},
Journal = {Duke Math. Journal},
Volume = {161},
Number = {7},
Pages = {1351-1378},
Year = {2012},
Month = {June},
url = {http://arxiv.org/abs/1006.3785},
Key = {fds205707}
}
@article{fds205706,
Author = {Alexandru Dimca and Richard Hain and Stefan Papadima},
Title = {The abelianization of the Johnson kernel},
Journal = {Journal of the European Mathematical Society},
Year = {2012},
Month = {June},
url = {http://arxiv.org/abs/1101.1392},
Key = {fds205706}
}
@book{fds212861,
Author = {Benson Farb and Richard Hain and Eduard Looijenga},
Title = {Moduli Spaces of Riemann Surfaces},
Series = {IAS/Park City Mathematics Series},
Publisher = {American Mathematical Society},
Year = {2012},
Key = {fds212861}
}
%% Harer, John
@article{fds213016,
Author = {T. Galkovskyi and Y. Mileyko and A. Bucksch and B. Moore and O.
Symonova, C. Price and C. Topp and A. Iyer-Pascuzzi and P. Zurek and S.
Fang, J. Harer and P. Benfey and J. Weitz},
Title = {GiA Roots: software for the high throughput analysis of
plant root system architecture},
Journal = {BMC Plant Biology},
Volume = {12},
Number = {116},
Year = {2012},
Abstract = {This paper describes the results of 5 years of work on plant
root architecture, culminating in the creation of a major
software system.},
Key = {fds213016}
}
@article{fds213237,
Author = {Elizabeth Munch and Michael Shapiro and John
Harer},
Title = {Failure Filtrations for Fenced Sensor Networks},
Journal = {The International Journal of Robotics Research},
Volume = {31},
Number = {9},
Year = {2012},
Key = {fds213237}
}
@article{fds213017,
Author = {Christopher N Topp and Anjali S Iyer-Pascuzzi and Jill T Anderson and Cheng-Ruei Lee and Paul R Zurek and Olga Symonova and Ying Zheng and Alexander Bucksch and Yuriy Milyeko and Taras Galkovskyi and Brad
Moore, John Harer and Herbert Edelsbrunner and Thomas Mitchell
Olds and Joshua S Weitz and Philip N Benfey},
Title = {3-dimensional phenotyping of growing root systems combined
with QTL mapping identifies core regions of the rice genome
controlling root architecture},
Journal = {Nature Biotechnology},
Year = {2012},
Key = {fds213017}
}
@article{fds213018,
Author = {Anastasia Deckard and Ron C. Anafi and John B. Hogenesch and Steven
B. Haase and John Harer},
Title = {Design and Analysis of Large-Scale Biological Rhythm
Studies: A Comparison of Algorithms for Detecting Periodic
Signals in Biological Data},
Journal = {PLOS Computational Biology},
Year = {2012},
Abstract = {The results of a major year-long DARPA funded project to
study the performance of a large collection of algorithms
for finding periodic gene expression.},
Key = {fds213018}
}
@article{fds213019,
Author = {Anastasia Deckard and Jurgen Sladeczek and David A. Orlando and Steven B. Haase and John Harer},
Title = {Biochronicity Website: Sharing the results of running
periodicity detection algorithms on biological
data},
Year = {2012},
Abstract = {Methods paper for finding periodic genes.},
Key = {fds213019}
}
@article{fds213236,
Author = {Paul Bendich and Jacob Harer and John Harer},
Title = {Persistent Homology Enhanced Dimension Reduction},
Journal = {Foundations of Computational Mathematics},
Year = {2012},
Key = {fds213236}
}
@article{fds213015,
Author = {Katherine Turner and Yuriy Mileyko and Sayan Mukherjee and John
Hare},
Title = {Fréchet Means for Distributions of Persistence
diagrams},
Journal = {arXiv:1206.2790 [math.ST]},
Year = {2012},
Abstract = {This gives an algorithm for computing the Frechet mean of a
collection of persistence diagrams.},
Key = {fds213015}
}
@article{fds199097,
Author = {J. Harer and Michael Jenista},
Title = {Realizing Boolean Dynamics in Switching Networks},
Journal = {Siam Journal of Applied Dynamical Systems},
Pages = {12},
Year = {2012},
Abstract = {Switching networks are a common model for biological
systems, especially for genetic transcription networks.
Stuart Kaufman originally proposed the usefulness of the
Boolean framework, but much of the dynamical features there
are not realizable in a continuous analogue. We introduce
the notion of braid-like dynamics as a bridge between
Boolean and continuous dynamics and study its importance in
the local dynamics of ring and ring-like networks. We
discuss a near-theorem on the global dynamics of general
feedback networks, and in the nal chapter study the main
ideas of this thesis in models of a yeast cell transcription
network.},
Key = {fds199097}
}
%% Herzog, David P
@article{fds204648,
Author = {J. Birrell and D.P. Herzog and J. Wehr},
Title = {The transition from ergodic to explosive behavior in a
family of stochastic differential equation.},
Journal = {Stochastic Processes and their Applications},
Volume = {122},
Number = {5},
Pages = {1519-1539},
Year = {2012},
Month = {April},
Key = {fds204648}
}
%% Joshi, Badal
@article{fds205759,
Author = {Badal Joshi and Anne Shiu},
Title = {Simplifying the Jacobian Criterion for precluding
multistationarity in chemical reaction networks},
Journal = {SIAM Journal on Applied Mathematics},
Volume = {72},
Number = {3},
Pages = {857-876},
Year = {2012},
Month = {June},
url = {http://arxiv.org/abs/1106.1578v2},
Key = {fds205759}
}
@article{fds206900,
Author = {Mainak Patel and Badal Joshi},
Title = {Decoding synchronized oscillations within the brain:
phase-delayed inhibition provides a robust mechanism for
creating a sharp synchrony filter},
Year = {2012},
Key = {fds206900}
}
%% Lawlor, David
@article{fds212087,
Author = {D. Lawlor and Y. Wang and A. Christlieb},
Title = {Adaptive sub-linear Fourier algorithms},
Year = {2012},
Month = {Summer},
url = {http://arxiv.org/abs/1207.6368},
Abstract = {We present a new deterministic algorithm for the sparse
Fourier transform problem, in which we seek to identify k <<
N significant Fourier coefficients from a signal of
bandwidth N. Previous deterministic algorithms exhibit
quadratic runtime scaling, while our algorithm scales
linearly with k in the average case. Underlying our
algorithm are a few simple observations relating the Fourier
coefficients of time-shifted samples to unshifted samples of
the input function. This allows us to detect when aliasing
between two or more frequencies has occurred, as well as to
determine the value of unaliased frequencies. We show that
empirically our algorithm is orders of magnitude faster than
competing algorithms.},
Key = {fds212087}
}
%% Layton, Anita T
@article{fds214468,
Author = {Karin Leiderman and Elizabeth L. Bouzarth and Ricardo Cortez and Anita T. Layton},
Title = {A regularization method for the numerical solution of
periodic Stokes flow},
Journal = {J Comput Phys},
Volume = {236},
Number = {187-202},
Year = {2013},
Key = {fds214468}
}
@article{fds216651,
Author = {Aniel Nieves-Gonzalez and Chris Clausen and Anita .T. Layton and Harold E. Layton and Leon C. Moore},
Title = {Transport efficiency and workload distribution in a
mathematical model of the thick ascending
limb},
Journal = {Am J Physiol Renal Physiol},
Volume = {304},
Number = {F653-F664},
Year = {2013},
Key = {fds216651}
}
@article{fds216652,
Author = {Aniel Nieves-Gonzalez and Chris Clausen and Mariano Marcano and Anita
.T. Layton and Harold E. Layton and Leon C.
Moore},
Title = {Fluid dilution and efficiency of Na+ transport in a
mathematical model of a thick ascending limb
cell},
Journal = {Am J Physiol Renal Physiol},
Volume = {304},
Number = {F634-F652},
Year = {2013},
Key = {fds216652}
}
@article{fds215978,
Author = {Hwayeon Ryu and Anita T. Layton},
Title = {Tubular fluid flow and distal NaCl delivery mediated by
tubuloglomerular feedback in the rat kidney},
Journal = {J Math Biol, in press},
Year = {2013},
Key = {fds215978}
}
@article{fds216781,
Author = {Sarah D. Olson and Anita T. Layton},
Title = {Simulating Fluid-Structure Interactions --- A
Review},
Journal = {AMS Contemporary Mathematics, Biological Fluid Dynamics:
Modeling, Computations, and Applications,
submitted},
Year = {2013},
Key = {fds216781}
}
@book{fds216729,
Author = {Anita T. Layton and Aurelie Edwards},
Title = {Mathematical Modeling of Renal Physiology},
Series = {Lecture Notes on Mathematical Modelling in the Life
Sciences},
Publisher = {Springer},
Editor = {Angela Stevens and Michael C. Mackey},
Year = {2013},
Key = {fds216729}
}
@article{fds216007,
Author = {Anita T. Layton},
Title = {Impacts of facilitated urea transporters on the urine
concentrating mechanism in the rat kidney},
Journal = {AMS Contemporary Mathematics, Biological Fluid Dynamics:
Modeling, Computations, and Applications,
submitted},
Year = {2013},
Key = {fds216007}
}
@article{fds216650,
Author = {Hwayeon Ryu and Anita T. Layton},
Title = {Feedback-mediated dynamics in a model of coupled nephrons
with compliant short loop of Henle},
Journal = {AMS Contemporary Mathematics, Biological Fluid Dynamics:
Modeling, Computations, and Applications,
submitted},
Year = {2013},
Key = {fds216650}
}
@article{fds215885,
Author = {Anita T. Layton},
Title = {Mathematical modeling of kidney transport,
submitted},
Journal = {WIRESs Systems Biology and Medicine},
Year = {2013},
Key = {fds215885}
}
@article{fds214490,
Author = {Yi Li and Ioannis Sgouralis and Anita T. Layton},
Title = {Computing viscous flow in an elastic tube},
Journal = {Numer. Math. Theor. Meth. Appl., submitted},
Year = {2013},
Key = {fds214490}
}
@article{fds211153,
Author = {Anita T. Layton and Lise Bankir},
Title = {Impacts of active urea secretion into pars recta on urine
concentrating mechanism},
Journal = {Am J Physiol Renal Physiol, submitted},
Year = {2012},
Key = {fds211153}
}
@article{fds210385,
Author = {Ioannis Sgouralis and Anita T. Layton},
Title = {Contol and modulation of fluid flow in the rat
kidney},
Journal = {Bull Math Biol, submitted},
Year = {2012},
Key = {fds210385}
}
@article{fds215884,
Author = {William H. Dantzler and Anita T. Layton and Harold E. Layton and Thomas L. Pannabecker},
Title = {Urine concentrating mechanism in the inner medulla: function
of the thin limbs of Henle’s loops},
Journal = {Clin J Am Soc Nephrol, in press},
Year = {2012},
Key = {fds215884}
}
@article{fds207970,
Author = {Gabor E. Linthorst and Lonneke Haer-Wigman and Jeff M. Sands and Janet D. Klein and Tiffany L. Thai and Arthur J. Verhoeven and Rob
van Zwieten, Maaike C. Jansweijer and Alida C. Knegt and Minke H.
de Ru and Jaap W. Groothoff and Michael Ludwig and Anita T. Layton and Arend Bökenkamp},
Title = {Familial azotemia caused by a duplication of the UT-B
transporter},
Journal = {J Am Soc Nephrol, submitted},
Year = {2012},
Key = {fds207970}
}
@article{fds216006,
Author = {Yi Li and Sarah A. Williams and Anita T. Layton},
Title = {A hybrid immersed interface method for driven stokes flow in
an elastic tube},
Journal = {Numer. Math. Theor. Meth. Appl., in press},
Year = {2012},
Key = {fds216006}
}
@book{fds198051,
Author = {Anita T. Layton and John Stockie and Zhilin Li and Huaxiong Huang},
Title = {Fluid Motion Driven by Immersed Structures},
Journal = {A special issue of Commun Comput Phys},
Volume = {2},
Year = {2012},
Key = {fds198051}
}
@article{fds203215,
Author = {Gene Hou and Jin Wang and Anita T. Layton},
Title = {Numerical methods for fluid-structure interaction – a
review},
Journal = {Comm Comput Phys},
Volume = {12},
Pages = {337-377},
Year = {2012},
Key = {fds203215}
}
@article{fds203286,
Author = {Anita T. Layton and J. Thomas Beale},
Title = {A partially implicit hybrid method for computing interface
motion in Stokes flow},
Journal = {Discrete and Continuous Dynamical Systems
B},
Volume = {17},
Pages = {1139-1153},
Year = {2012},
Key = {fds203286}
}
@article{fds208201,
Author = {Ioannis Sgouralis and Anita T. Layton},
Title = {Autoregulation and conduction of vasomotor responses in a
mathematical model of the rat afferent arteriole},
Journal = {Am J Physiol Renal Physiol},
Volume = {303},
Number = {F229-F239},
Year = {2012},
Key = {fds208201}
}
@article{fds207992,
Author = {Yi Li and Anita T. Layton},
Title = {Accurate computation of Stokes flow driven by an open
immersed interface},
Journal = {J. Compute. Phys.},
Volume = {231},
Number = {15},
Pages = {5195-5215},
Year = {2012},
Key = {fds207992}
}
@article{fds204559,
Author = {Anita T. Layton and Philip Pham and Hwa-Yeon
Ryu},
Title = {Signal transduction in a compliant short loop of
Henle},
Journal = {Int J Numer Methods Biomed Eng},
Volume = {28},
Number = {3},
Pages = {369-380},
Year = {2012},
Key = {fds204559}
}
@article{fds204784,
Author = {Anita T. Layton and Rebecca Gilbert and Thomas L.
Pannabecker},
Title = {Isolated interstitial nodal spaces may facilitate
preferential solute and fluid mixing in the rat renal inner
medulla},
Journal = {Am J Physiol Renal Physiol},
Volume = {302},
Number = {7},
Pages = {F830-F839},
Year = {2012},
Key = {fds204784}
}
@article{fds204785,
Author = {Anita T. Layton and William H. Dantzler and Thomas L.
Pannabecker},
Title = {Urine concentrating mechanism: Impact of vascular and
tubular architecture and a proposed descending limb urea-Na+
cotransporter},
Journal = {Am J Physiol Renal Physiol},
Volume = {302},
Number = {5},
Pages = {F591-F605},
Year = {2012},
Key = {fds204785}
}
@article{fds205057,
Author = {Anita T. Layton and Leon C. Moore and Harold E.
Layton},
Title = {Signal transduction in a compliant thick ascending
limb},
Journal = {Am. J. Physiol. Renal Physiol.},
Volume = {302},
Pages = {F1188-F1202},
Year = {2012},
Key = {fds205057}
}
@article{fds207056,
Author = {Natasha S. Savage and Anita T. Layton and Daniel J.
Lew},
Title = {Mechanistic mathematical model of polarity in
yeast},
Journal = {Mol Biol Cell},
Volume = {23},
Number = {10},
Pages = {1998-2013},
Year = {2012},
Key = {fds207056}
}
@article{fds211581,
Author = {Anita T. Layton},
Title = {A velocity decomposition approach for solving the immersed
interface problem with Dirichlet boundary
conditions},
Journal = {IMA Volume on Natural Locomotion in Fluids and on Surfaces:
Swimming, Flying, and Sliding},
Pages = {263-270},
Year = {2012},
Key = {fds211581}
}
@article{fds204720,
Author = {Hwayeon Ryu and Anita T. Layton},
Title = {Effect of tubular inhomogeneities on feedback-mediated
dynamics of a model of a thick ascending
limb},
Journal = {Med Math Biol, in press},
Year = {2012},
Key = {fds204720}
}
@article{fds208133,
Author = {Anita T. Layton},
Title = {Modeling transport and flow regulatory mechanisms of the
kidney},
Journal = {ISRN Biomath},
Volume = {2012},
Pages = {ID: 170594, 18 pages},
Year = {2012},
Key = {fds208133}
}
@article{fds204560,
Author = {Anita T. Layton and Guowei Wei},
Title = {Editorial: Interface methods for biological and biomedical
problems},
Journal = {Int J Numer Methods Biomed Eng},
Volume = {28},
Number = {3},
Editor = {289-290},
Year = {2012},
Key = {fds204560}
}
@book{fds202894,
Author = {Anita T. Layton and Guo-Wei Wei},
Title = {Interface Methods for Biological and Biomedical
Problems},
Journal = {Int J Numer Methods Biomed Eng},
Volume = {28},
Number = {3},
Pages = {289-399},
Year = {2012},
Key = {fds202894}
}
@book{fds202895,
Author = {Thoma Witelski and David Ambrose and Andrea Bertozzi and Anita
Layton and Zhilin Li},
Title = {Fluid Dynamics, Analysis and Numerics},
Journal = {Special issue of Discrete and Continuous Dynamical Systems -
Series B},
Year = {2012},
Key = {fds202895}
}
@article{fds209410,
Author = {Aurélie Edwards and Anita T. Layton},
Title = {Impact of nitric oxide-mediated vasodilation on outer
medullary NaCl transport and oxygenation},
Journal = {Am J Physiol Renal Physiol},
Volume = {303},
Number = {7},
Pages = {F907-F917},
Year = {2012},
Key = {fds209410}
}
%% Layton, Harold
@article{fds209865,
Author = {William H. Dantzler and Anita T. Layton and Harold E. Layton and Thomas L. Pannabecker},
Title = {Urine concentrating mechanism in the inner medulla: function
of the thin limbs of Henle’s loops},
Journal = {Clinical Journal of the American Society of
Nephrology.},
Year = {2012},
Month = {August},
Key = {fds209865}
}
@article{fds208190,
Author = {Jeff M. Sands and David B. Mount and Harold E.
Layton},
Title = {The physiology of water homeostasis},
Booktitle = {Core Concepts in the Disorders of Fluids, Electrolytes, and
Acid-Base Balance},
Publisher = {Springer},
Editor = {David B. Mount and Ajay Singh and Mo Sayegh},
Year = {2012},
Month = {August},
Key = {fds208190}
}
@article{fds208185,
Author = {Anita T. Layton and Leon C. Moore and Harold E.
Layton},
Title = {Signal transduction in a compliant thick ascending
limb},
Journal = {American Journal of Physiology--Renal Physiology
302:F1188-F1202},
Year = {2012},
Month = {May},
Key = {fds208185}
}
@article{fds209866,
Author = {Aniel Nieves-Gonzalez and Chris Clausen and Mariano Marcano and Anita
T. Layton and Harold E. Layton and Leon C.
Moore},
Title = {Fluid dilution and efficiency of Na+ transport in a
mathematical model of a thick ascending limb
cell},
Journal = {American Journal of Physiology---Renal Physiology},
Year = {2012},
Key = {fds209866}
}
@article{fds209867,
Author = {Aniel Nieves-Gonzalez and Chris Clausen and Anita T. Layton and Harold E. Layton and Leon C. Moore},
Title = {Efficiency and workload distribution in a mathematical model
of the thick ascending limb},
Journal = {American Journal of Physiology--Renal Physiology},
Year = {2012},
Key = {fds209867}
}
%% Liu, Jian-Guo
@article{fds212714,
Author = {J. Haack and S. Jin and J.-G. Liu},
Title = {An all-speed asymptotic-preserving method for the isentropic
Euler and Navier-Stokes equations},
Journal = {Commun. Comput. Phy.},
Volume = {12},
Pages = {955-980},
Year = {2012},
Key = {fds212714}
}
@article{fds212715,
Author = {A. Chertock and J.-G. Liu and T. Pendleton},
Title = {Convergence of a particle method and global weak solutions
of a family of evolutionary PDEs},
Journal = {SIAM J. Numer. Anal.},
Volume = {50},
Pages = {1-21},
Year = {2012},
Key = {fds212715}
}
@article{fds212716,
Author = {P. Degond and J.-G. Liu},
Title = {Hydrodynamics of self-alignment interactions with precession
and derivation of the Landau-Lifschitz-Gilbert
equation},
Journal = {Math. Models Methods Appl. Sci.},
Volume = {22},
Pages = {1114001-18},
Year = {2012},
Key = {fds212716}
}
@article{fds212717,
Author = {J. Carrillo and L. Chen and J.-G. Liu and J. Wang},
Title = {A note on the subcritical two dimensional Keller-Segel
system},
Journal = {Acta Applicanda Mathematicae},
Volume = {119},
Pages = {43-55},
Year = {2012},
Key = {fds212717}
}
@article{fds212718,
Author = {A. Frouvelle and J.-G. Liu},
Title = {Dynamics in a kinetic model of oriented particles with phase
transition},
Journal = {SIAM J. Math Anal},
Volume = {44},
Pages = {791--826},
Year = {2012},
Key = {fds212718}
}
@article{fds212719,
Author = {L. Chen and J.-G. Liu and J. Wang},
Title = {Multi-dimensional degenerate Keller-Segel system with
critical diffusion exponent 2n/(n+2)},
Journal = {SIAM J. Math Anal},
Volume = {44},
Pages = {1077-1102},
Year = {2012},
Key = {fds212719}
}
@article{fds212720,
Author = {X. Chen and J.-G. Liu},
Title = {Two Nonlinear Compactness Theorems in L^p(0,T;B)},
Journal = {Appl. Math. Lett.},
Volume = {25},
Pages = {2252-2257},
Year = {2012},
Key = {fds212720}
}
@article{fds212721,
Author = {D. Chae and J. G. Liu},
Title = {Blow-up, zero alpha limit and the Liouville type theorem for
the Euler-Poincare equations},
Journal = {Comm. Math. Phy.,},
Volume = {314},
Pages = {671-687},
Year = {2012},
Key = {fds212721}
}
@article{fds212723,
Author = {P. Degond and A. Frouvell and J.-G. Liu},
Title = {Macroscopic limits and phase transition in a system of
self-propelled particles},
Journal = {J Nonlinear Sci.},
Year = {2012},
Key = {fds212723}
}
%% Lu, Jianfeng
@article{fds211935,
Author = {J. Lu and Pingbing Ming},
Title = {Convergence of a force-based hybrid method for atomistic and
continuum models in three dimension},
Journal = {Comm. Pure Appl. Math.},
Volume = {66},
Pages = {83-108},
Year = {2013},
Key = {fds211935}
}
@article{fds211936,
Author = {J. Lu and Weinan E},
Title = {The Kohn-Sham equation for deformed crystals},
Journal = {Mem. Amer. Math. Soc.},
Volume = {221},
Number = {1040},
Year = {2013},
Key = {fds211936}
}
@article{fds215935,
Author = {J. Lu and Eric Vanden-Eijnden},
Title = {Infinite swapping replica exchange molecular dynamics leads
to a simple simulation patch using mixture
potentials},
Journal = {J. Chem. Phys.},
Volume = {138},
Pages = {084105},
Year = {2013},
Key = {fds215935}
}
@article{fds216876,
Author = {J. Lu and Sergey Fomel and Xu Yang},
Title = {Seismic modeling using the frozen Gaussian
approximation},
Year = {2013},
Key = {fds216876}
}
@article{fds216916,
Author = {J. Lu and Weinan E and Yuan Yao},
Title = {The Landscape of Complex Networks -- Critical Nodes and a
Hierarchical Decomposition},
Journal = {Methods Appl. Anal.},
Year = {2013},
Key = {fds216916}
}
@article{fds215986,
Author = {J. Lu and James Nolen},
Title = {Reactive trajectories and the transition path
processes},
Year = {2013},
Key = {fds215986}
}
@article{fds211487,
Author = {J. Lu and Weinan E},
Title = {Stability and the continuum limit of the spin-polarized
Thomas-Fermi-Dirac-von Weizsacker model},
Journal = {J. Math. Phys.},
Volume = {53},
Pages = {115615},
Year = {2012},
Key = {fds211487}
}
@article{fds211489,
Author = {J. Lu and Robert V. Kohn and Ben Schweizer and Michael I.
Weinstein},
Title = {A variational perspective on cloaking by anomalous localized
resonance},
Year = {2012},
Key = {fds211489}
}
@article{fds211490,
Author = {J. Lu and Pingbing Ming},
Title = {Stability of a force-based hybrid method in three dimension
with sharp interface},
Year = {2012},
Key = {fds211490}
}
@article{fds209290,
Author = {J. Lu and Felix Otto},
Title = {Nonexistence of minimizer for Thomas-Fermi-Dirac-von
Weizsacker model},
Journal = {Comm. Pure Appl. Math.},
Year = {2012},
Key = {fds209290}
}
@article{fds208570,
Author = {J. Lu and Weinan E and Lin Lin and Lexing Ying},
Title = {Optimized local basis function for Kohn-Sham density
functional theory},
Journal = {J. Comput. Phys.},
Volume = {231},
Pages = {4515},
Year = {2012},
Key = {fds208570}
}
@article{fds208571,
Author = {J. Lu and Xu Yang},
Title = {Frozen Gaussian approximation for general linear strictly
hyperbolic system: formulation and Eulerian
methods},
Journal = {Multiscale Model. Simul.},
Volume = {10},
Pages = {451},
Year = {2012},
Key = {fds208571}
}
@article{fds208572,
Author = {J. Lu and Weinan E and Lin Lin and Lexing Ying},
Title = {Adaptive local basis set for Kohn-Sham density functional
theory in a discontinuous Galerkin framework I: Total energy
calculation},
Journal = {J. Comput. Phys.},
Volume = {231},
Pages = {2140},
Year = {2012},
Key = {fds208572}
}
@article{fds208573,
Author = {J. Lu and Xu Yang},
Title = {Convergence of frozen Gaussian approximation for high
frequency wave propagation},
Journal = {Comm. Pure Appl. Math.},
Volume = {65},
Pages = {759},
Year = {2012},
Key = {fds208573}
}
%% Maggioni, Mauro
@article{fds212846,
Author = {M. Maggioni},
Title = {What is...data mining?},
Journal = {A.M.S. Notices},
Year = {2012},
Month = {April},
url = {http://www.ams.org/notices/201204/rtx120400532p.pdf},
Key = {fds212846}
}
@article{fds212848,
Author = {J. Bouvrie and M. Maggioni},
Title = {Efficient Solution of Markov Decision Problems with
Multiscale Representations},
Journal = {Proc. 50th Annual Allerton Conference on Communication,
Control, and Computing},
Year = {2012},
Key = {fds212848}
}
@article{fds212843,
Author = {J. Bouvrie and M. Maggioni},
Title = {Geometric Multiscale Reduction for Autonomous and Controlled
Nonlinear Systems},
Booktitle = {Proc. IEEE Conference on Decision and Control
(CDC)},
Year = {2012},
url = {http://www.math.duke.edu/~mauro/Papers/BouvrieMaggioni_CDC2012.pdf},
Key = {fds212843}
}
@article{fds212849,
Author = {A. Coppola and B. Wenner and R. Stevens and O. Ilkayeva and M. Maggioni and T. Slotkin and E. Levin and C. Newgard},
Title = {Branched-chain amino acids alter neurobehavioral function in
rats},
Journal = {American Journal of Physiology - Endocrinology and
Metabolism},
Year = {2012},
Key = {fds212849}
}
@article{fds212845,
Author = {M. Iwen and M. Maggioni},
Title = {Approximation of Points on Low-Dimensional Manifolds Via
Random Linear Projections},
Journal = {Inference & Information},
Year = {2012},
Key = {fds212845}
}
@article{fds212847,
Author = {J. Bouvrie and M. Maggioni},
Title = {Multiscale Markov Decision Problems: Compression, Solution,
and Transfer Learning},
Year = {2012},
url = {http://arxiv.org/abs/1212.1143},
Key = {fds212847}
}
@article{fds212844,
Author = {A.V. Little and M. Maggioni and L. Rosasco},
Title = {Multiscale Geometric Methods for Data Sets I: Multiscale
SVD, Noise and Curvature},
Year = {2012},
Key = {fds212844}
}
@article{fds212850,
Author = {W.K. Allard and G. Chen and M. Maggioni},
Title = {Multiscale Geometric Methods for Data Sets II: Geometric
Wavelets},
Journal = {Appl. Comp. Harm. Anal.},
Volume = {32},
Number = {3},
Year = {2012},
Key = {fds212850}
}
@inproceedings{MM:EEG,
Author = {E Causevic and R~R Coifman and R Isenhart and A Jacquin and E~R John and M Maggioni and L~S Prichep and F~J
Warner},
Title = {{QEEG}-based classification with wavelet packets and
microstate features for triage applications in the
{ER}},
Year = {2005},
Key = {MM:EEG}
}
@article{MRA_HRBF2004,
Author = {S. Ferrari and M. Maggioni and N. A. Borghese},
Title = {Multi-Scale Approximation with Hierarchical Radial Basis
Functions Networks,},
Journal = {IEEE Trans. on Neural Networks},
Volume = {15},
Number = {1},
Pages = {178--188},
Year = {2004},
Key = {MRA_HRBF2004}
}
@misc{PathNIH2004,
Author = {GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman},
Title = {Hyper-spectral Analysis of normal and malignant colon tissue
microarray sections using a novel DMD system},
Year = {2004},
Key = {PathNIH2004}
}
@techreport{CMTech,
Author = {Ronald R Coifman and Mauro Maggioni},
Title = {Multiresolution Analysis associated to diffusion semigroups:
construction and fast algorithms},
Number = {YALE/DCS/TR-1289},
Organization = {Dept. Comp. Sci., Yale University},
Institution = {Dept. Comp. Sci., Yale University},
Year = {2004},
Key = {CMTech}
}
%% Matic, Ivan
@article{fds211578,
Author = {Ivan Matic and James Nolen},
Title = {A sublinear variance bound for solutions of a random
Hamilton-Jacobi equation},
Journal = {J Stat Phys},
Volume = {149},
Number = {2},
Pages = {342-361},
Publisher = {Springer},
Year = {2012},
Month = {September},
ISSN = {149:342-361},
url = {http://arxiv.org/abs/1206.2937},
Keywords = {random Hamilton-Jacobi equation, sublinear
variance},
Abstract = {We estimate the variance of the value function for a random
optimal control problem. The value function is the solution
$w^\epsilon$ of a random Hamilton-Jacobi equation with
random Hamiltonian $H(p,x,\omega) = K(p) -
V(x/\epsilon,\omega)$ in dimension $d \geq 2$. It is known
that homogenization occurs as $\epsilon \to 0$, but little
is known about the statistical fluctuations of $w^\epsilon$.
Our main result shows that the variance of the solution
$w^\epsilon$ is bounded by $O(\epsilon/|\log \epsilon|)$.
The proof relies on a modified Poincar\'e inequality of
Talagrand.},
Key = {fds211578}
}
%% Mattingly, Jonathan C.
@article{fds213422,
Author = {J.C. Mattingly and Avanti Athreya and Tiffany Kolba},
Title = {Propagating Lyapunov functions to prove noise-induced
stabilization},
Journal = {Ellectronic Journal of Probability},
Volume = {17},
Pages = {1-38},
Year = {2012},
Month = {November},
url = {http://ejp.ejpecp.org/article/view/2410},
Abstract = {We investigate an example of noise-induced stabilization in
the plane that was also considered in (Gawedzki, Herzog,
Wehr 2010) and (Birrell, Herzog, Wehr 2011). We show that
despite the deterministic system not being globally stable,
the addition of additive noise in the vertical direction
leads to a unique invariant probability measure to which the
system converges at a uniform, exponential rate. These facts
are established primarily through the construction of a
Lyapunov function which we generate as the solution to a
sequence of Poisson equations. Unlike a number of other
works, however, our Lyapunov function is constructed in a
systematic way, and we present a meta-algorithm we hope will
be applicable to other problems. We conclude by proving
positivity properties of the transition density by using
Malliavin calculus via some unusually explicit
calculations.},
Doi = {10.1214/EJP.v17-2410},
Key = {fds213422}
}
@article{fds213421,
Author = {J.C. Mattingly and Mattingly, Jonathan C. and McKinley, Scott A. and Pillai,
Natesh S.},
Title = {Geometric ergodicity of a bead--spring pair with stochastic
{S}tokes forcing},
Journal = {Stochastic Processes and their Applications},
Volume = {122},
Number = {12},
Pages = {3953--3979},
Year = {2012},
ISSN = {0304-4149},
MRCLASS = {Preliminary Data},
MRNUMBER = {2971721},
url = {http://arxiv.org/abs/0902.4496},
Abstract = {We consider a simple model for the fluctuating hydrodynamics
of a flexible polymer in dilute solution, demonstrating
geometric ergodicity for a pair of particles that interact
with each other through a nonlinear spring potential while
being advected by a stochastic Stokes fluid velocity field.
This is a generalization of previous models which have used
linear spring forces as well as white-in-time fluid velocity
fields. We follow previous work combining control theoretic
arguments, Lyapunov functions, and hypo-elliptic diffusion
theory to prove exponential convergence via a Harris chain
argument. To this, we add the possibility of excluding
certain "bad" sets in phase space in which the assumptions
are violated but from which the systems leaves with a
controllable probability. This allows for the treatment of
singular drifts, such as those derived from the
Lennard-Jones potential, which is an novel feature of this
work.},
Key = {fds213421}
}
%% McGoff, Kevin A
@article{fds211376,
Author = {K. McGoff},
Title = {Random subshifts of finite type},
Journal = {Annals of Probability},
Volume = {40},
Number = {2},
Pages = {648–694},
Year = {2012},
url = {http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aop/1332772716},
Key = {fds211376}
}
@article{fds211375,
Author = {D. Burguet and K. McGoff},
Title = {Orders of accumulation of entropy},
Journal = {Fundamenta Mathematicae},
Volume = {216},
Number = {1},
Pages = {1-53},
Year = {2012},
url = {http://journals.impan.pl/cgi-bin/doi?fm216-1-1},
Key = {fds211375}
}
@article{fds211377,
Author = {K. McGoff and S. Mukherjee and N. Pillai},
Title = {Statistical inference for dynamical systems: a
review},
Journal = {Statistical Surveys},
Year = {2012},
url = {http://arxiv.org/abs/1204.6265},
Key = {fds211377}
}
%% Miller, Ezra
@article{fds199129,
Author = {First Miller and Alan Guo},
Title = {Algorithms for lattice games},
Journal = {International Journal of Game Theory},
Year = {2012},
url = {http://dx.doi.org/10.1007/s00182-012-0319-9},
Abstract = {This paper provides effective methods for the polyhedral
formulation of impartial finite combinatorial games as
lattice games. Given a rational strategy for a lattice game,
a polynomial time algorithm is presented to decide (i)
whether a given position is a winning position, and to find
a move to a winning position, if not; and (ii) to decide
whether two given positions are congruent, in the sense of
misère quotient theory. The methods are based on the theory
of short rational generating functions.},
Key = {fds199129}
}
@article{fds199130,
Title = {Affine stratifications from finite misère
quotients},
Journal = {Journal of Algebraic Combinatorics},
Year = {2012},
url = {http://dx.doi.org/10.1007/s10801-012-0355-3},
Abstract = {Given a morphism from an affine semigroup Q to an arbitrary
commutative monoid, it is shown that every fiber possesses
an affine stratification: a partition into a finite disjoint
union of translates of normal affine semigroups. The proof
rests on mesoprimary decomposition of monoid congruences
[arXiv:1107.4699] and a novel list of equivalent conditions
characterizing the existence of an affine stratification.
The motivating consequence of the main result is a special
case of a conjecture due to Guo and the author
[arXiv:0908.3473, arXiv:1105.5420] on the existence of
affine stratifications for (the set of winning positions of)
any lattice game. The special case proved here assumes that
the lattice game has finite misère quotient, in the
sense of Plambeck and Siegel [arXiv:math/0501315,
arXiv:math/0609825v5].},
Key = {fds199130}
}
@article{fds211486,
Author = {First Miller and Thomas Kahle},
Title = {Decompositions of commutative monoid congruences and
binomial ideals},
Journal = {Algebra & Number Theory},
Year = {2012},
url = {http://arxiv.org/abs/math/1107.4699},
Abstract = {We demonstrate how primary decomposition of commutative
monoid congruences fails to capture the essence of primary
decomposition in commutative rings by exhibiting a more
sensitive theory of <i>mesoprimary decomposition</i> of
congruences, complete with witnesses, associated prime
objects, and an analogue of irreducible decomposition called
<i>coprincipal decomposition</i>. We lift the combinatorial
theory of mesoprimary decomposition to arbitrary binomial
ideals in monoid algebras. The resulting <i>binomial
mesoprimary decomposition</i> is a new type of intersection
decomposition for binomial ideals that enjoys computational
efficiency and independence from ground field hypotheses.
Furthermore, binomial primary decomposition is easily
recovered from mesoprimary decomposition, as is binomial
irreducible decomposition -- which was previously not known
to exist -- from binomial coprincipal decomposition.},
Key = {fds211486}
}
@article{fds212322,
Author = {First Miller and Thomas Hotz and Stephan Huckemann and Huiling Le and J. S. Marron and Jonathan C. Mattingly and James Nolen and Megan Owen and Vic
Patrangenaru and Sean Skwerer},
Title = {Sticky central limit theorems on open books},
Journal = {Annals of Applied Probability},
Year = {2012},
url = {http://arxiv.org/abs/math/1202.4267},
Abstract = {Given a probability distribution on an open book (a metric
space obtained by gluing a disjoint union of copies of a
half-space along their boundary hyperplanes), we define a
precise concept of when the Fréchet mean (barycenter)
is <i>sticky</i>. This non-classical phenomenon is
quantified by a law of large numbers (LLN) stating that the
empirical mean eventually almost surely lies on the
(codimension 1 and hence measure 0) <i>spine</i> that is the
glued hyperplane, and a central limit theorem (CLT) stating
that the limiting distribution is Gaussian and supported on
the spine. We also state versions of the LLN and CLT for the
cases where the mean is nonsticky (that is, not lying on the
spine) and partly sticky (that is, on the spine but not
sticky).},
Key = {fds212322}
}
@article{fds212323,
Author = {First Miller and Manoj Gopalkrishnan and Anne Shiu},
Title = {A projection argument for differential inclusions, with
applications to persistence of mass-action
kinetics},
Journal = {SIGMA (Symmetry, Integrability, and Geometry: Methods and
Applications)},
Year = {2012},
url = {http://arxiv.org/abs/math/1208.0874},
Abstract = {Motivated by questions in mass-action kinetics, we introduce
the notion of <i>vertexical family</i> of differential
inclusions. Defined on open hypercubes, these families are
characterized by particular good behavior under projection
maps. The motivating examples are certain families of
reaction networks—including reversible, weakly
reversible, endotactic, and <i>strongly endotactic</i>
reaction networks—that give rise to vertexical
families of mass-action differential inclusions. We prove
that vertexical families are amenable to structural
induction. Consequently, a trajectory of a vertexical family
approaches the boundary if and only if either the trajectory
approaches a vertex of the hypercube, or a trajectory in a
lower-dimensional member of the family approaches the
boundary. With this technology, we make progress on the
global attractor conjecture, a central open problem
concerning mass-action kinetics systems. Additionally, we
phrase mass-action kinetics as a functor on reaction
networks with variable rates.},
Key = {fds212323}
}
@article{fds212344,
Author = {First Miller and Megan Owen and Scott Provan},
Title = {Averaging metric phylogenetic trees},
Year = {2012},
url = {http://arxiv.org/abs/math/1211.7046},
Abstract = {This paper investigates the computational geometry relevant
to calculations of the Fréchet mean and variance for
probability distributions on the phylogenetic tree space of
Billera, Holmes and Vogtmann, using the theory of
probability measures on spaces of nonpositive curvature
developed by Sturm. We show that the combinatorics of
geodesics with a specified fixed endpoint in tree space are
determined by the location of the varying endpoint in a
certain polyhedral subdivision of tree space. The variance
function associated to a finite subset of tree space is
continuously differentiable within each cell of the
corresponding subdivision. We use this subdivision to
establish two iterative methods for producing sequences that
converge to the Fréchet mean: one based on Sturm's
Law of Large Numbers, and another based on descent
algorithms for finding optima of smooth functions on convex
polyhedra. We present properties and biological applications
of Frechet means and extend our main results to more general
globally nonpositively curved spaces composed of Euclidean
orthants.},
Key = {fds212344}
}
@article{fds212345,
Author = {First Miller and Christine Berkesch and Stephen Griffeth},
Title = {Systems of parameters and holonomicity of hypergeometric
systems},
Year = {2012},
Abstract = {The main result is an elementary proof of holonomicity for
<var>A</var>-hypergeometric systems, with no requirements on
the behavior of their singularities, originally due to
Adolphson (1994) after the regular singular case by Gelfand
and Gelfand (1986). Our method yields a direct de novo proof
that <var>A</var>-hypergeometric systems form holonomic
families over their parameter spaces, as shown by
Matusevich, Miller, and Walther (2005).},
Key = {fds212345}
}
%% Minsker, Stanislav
@article{fds212152,
Author = {S. Minsker},
Title = {Non-asymptotic bounds for prediction problems and density
estimation},
Journal = {Ph.D. Thesis, Georgia Institute of Technology},
Year = {2012},
Month = {May},
url = {http://sminsker.files.wordpress.com/2012/10/minsker_stanislav_201208.pdf},
Key = {fds212152}
}
@article{fds212150,
Author = {S. Minsker},
Title = {Plug-in Approach to Active Learning},
Journal = {Journal of Machine Learning Research},
Volume = {13},
Pages = {67-90},
Year = {2012},
Month = {January},
Key = {fds212150}
}
@article{fds212151,
Author = {S. Minsker},
Title = {On some extensions of Bernstein’s inequality for
self-adjoint operators},
Year = {2012},
url = {http://arxiv.org/abs/1112.5448},
Key = {fds212151}
}
%% Moss, Robert
@article{fds212004,
Author = {R. Moss and T. Grosse and I. Marchant and N. Lassau and F. Gueyffier and S.
R. Thomas},
Title = {Virtual patients and sensitivity analysis of the Guyton
model of blood pressure regulation: towards individualized
models of whole-body physiology},
Journal = {PLoS Comp Biol},
Volume = {8},
Number = {6},
Pages = {e1002571},
Year = {2012},
Month = {June},
url = {http://dx.doi.org/10.1371/journal.pcbi.1002571},
Abstract = {http://dx.doi.org/10.1371/journal.pcbi.1002571},
Doi = {10.1371/journal.pcbi.1002571},
Key = {fds212004}
}
@article{fds212005,
Author = {K. J. Bolton and J. M. McCaw and R. Moss and R. S. Morris and S. Wang and A. Burma and B. Darma and D. Narangerel and P. Nymadawa and J.
McVernon},
Title = {Likely effectiveness of pharmaceutical and
non-pharmaceutical interventions for mitigating influenza
virus transmission in Mongolia},
Journal = {Bull WHO},
Volume = {90},
Number = {4},
Pages = {264-271},
Year = {2012},
Month = {April},
url = {http://www.who.int/bulletin/volumes/90/4/11-093419/en/index.html},
Abstract = {http://www.who.int/bulletin/volumes/90/4/11-093419/en/index.html},
Doi = {10.2471/BLT.11.093419},
Key = {fds212005}
}
%% Ng, Lenhard L
@article{fds217173,
Author = {W. Chongchitmate and L. Ng},
Title = {An atlas of Legendrian knots},
Journal = {Experimental Mathematics},
Volume = {22},
Number = {1},
Pages = {26-37},
Year = {2013},
url = {http://dx.doi.org/10.1080/10586458.2013.750221},
Doi = {10.1080/10586458.2013.750221},
Key = {fds217173}
}
@article{fds217174,
Author = {J. Etnyre and L. Ng and V. Vertesi},
Title = {Legendrian and transverse twist knots},
Journal = {Journal of the European Mathematical Society},
Volume = {15},
Number = {3},
Pages = {451-512},
Year = {2013},
url = {http://dx.doi.org/10.4171/JEMS/383},
Doi = {10.4171/JEMS/383},
Key = {fds217174}
}
@article{fds217175,
Author = {T. Ekholm and J. Etnyre and L. Ng and M. Sullivan},
Title = {Filtrations on the knot contact homology of transverse
knots},
Journal = {Mathematische Annalen},
Volume = {355},
Number = {4},
Pages = {1561-1691},
Year = {2013},
url = {http://dx.doi.org/10.1007/s00208-012-0832-y},
Doi = {10.1007/s00208-012-0832-y},
Key = {fds217175}
}
@article{fds217177,
Author = {T. Ekholm and J. Etnyre and L. Ng and M. Sullivan},
Title = {Knot contact homology},
Journal = {Geometry & Topology},
Volume = {17},
Pages = {975-1112},
Year = {2013},
url = {http://dx.doi.org/10.2140/gt.2013.17.975},
Doi = {10.2140/gt.2013.17.975},
Key = {fds217177}
}
@article{fds217176,
Author = {L. Ng and D. Rutherford},
Title = {Satellites of Legendrian knots and representations of the
Chekanov-Eliashberg algebra},
Journal = {Algebraic & Geometric Topology},
Year = {2013},
url = {http://arxiv.org/abs/1206.2259},
Key = {fds217176}
}
@article{fds217178,
Author = {R. Lipshitz and L. Ng and S. Sarkar},
Title = {On transverse invariants from Khovanov homology},
Year = {2013},
url = {http://arxiv.org/abs/1303.6371},
Key = {fds217178}
}
@article{fds211251,
Author = {L. Ng},
Title = {A topological introduction to knot contact
homology},
Year = {2012},
url = {http://arxiv.org/abs/1210.4803},
Key = {fds211251}
}
@article{fds211252,
Author = {L. Ng},
Title = {On arc index and maximal Thurston-Bennequin
number},
Journal = {Journal of Knot Theory and Its Ramifications},
Volume = {21},
Number = {4},
Year = {2012},
url = {http://dx.doi.org/10.1142/S0218216511009820},
Doi = {10.1142/S0218216511009820},
Key = {fds211252}
}
%% Nolen, James
@article{fds216732,
Author = {F. Hamel and J. Nolen and J.-M. Roquejoffre and L.
Ryzhik},
Title = {A short proof of the logarithmic Bramson correction in
Fisher-KPP equations},
Journal = {Networks and Heterogeneous Media},
Volume = {8},
Number = {1},
Pages = {275-289},
Year = {2013},
url = {http://math.duke.edu/~nolen/preprints/hnrr1_submit.pdf},
Doi = {doi:10.3934/nhm.2013.8.275},
Key = {fds216732}
}
@article{fds215985,
Author = {J. Lu and J. Nolen},
Title = {Reactive trajectories and the transition path
process.},
Year = {2013},
url = {http://arxiv.org/abs/1303.1744},
Key = {fds215985}
}
@article{fds215981,
Author = {S. Bhamidi and J. Hannig and C. Lee and J. Nolen},
Title = {The importance sampling technique for understanding rare
events in Erdős-Rényi random graphs},
Year = {2013},
url = {http://arxiv.org/abs/1302.6551},
Key = {fds215981}
}
@article{fds211378,
Author = {F. Hamel and J. Nolen and J.-M. Roquejoffre and L.
Ryzhik},
Title = {The logarithmic delay of KPP fronts in a periodic
medium},
Year = {2012},
url = {http://arxiv.org/abs/1211.6173},
Key = {fds211378}
}
@article{fds208132,
Author = {A. Mellet and J. Nolen},
Title = {Capillary drops on a rough surface},
Journal = {Interfaces and Free Boundaries},
Volume = {14},
Pages = {167-184},
Year = {2012},
url = {http://dx.doi.org/10.4171/IFB/278},
Doi = {10.4171/IFB/278},
Key = {fds208132}
}
@article{fds203212,
Author = {J. Nolen and G. Pavliotis and A. Stuart},
Title = {Multiscale modeling and inverse problems},
Booktitle = {Numerical Analysis of Multiscale Problems, Lecture Notes in
Computational Science and Engineering},
Publisher = {Springer},
Editor = {I.G. Graham and T.Y. Hou and O. Lakkis and R. Scheichl},
Year = {2012},
url = {http://arxiv.org/abs/1009.2943},
Key = {fds203212}
}
@article{fds203213,
Author = {J. Nolen and J.-M. Roquejoffre and L. Ryzhik and A.
Zlatos},
Title = {Existence and non-existence of Fisher-KPP transition
fronts},
Journal = {Archive for Rational Mechanics and Analysis},
Volume = {203},
Number = {1},
Pages = {217-246},
Year = {2012},
url = {http://arxiv.org/abs/1012.2392},
Doi = {10.1007/s00205-011-0449-4},
Key = {fds203213}
}
@article{fds209794,
Author = {I. Matic and J. Nolen},
Title = {A sublinear variance bound for solutions of a random
Hamilton-Jacobi equation},
Journal = {Journal of Statistical Physics},
Volume = {149},
Number = {2},
Pages = {342-361},
Year = {2012},
url = {http://math.duke.edu/~nolen/preprints/sublinHJ_submit_rev.pdf},
Doi = {10.1007/s10955-012-0590-y},
Key = {fds209794}
}
@article{fds209880,
Author = {T. Hotz and S. Huckemann and H. Le and J. Marron and J. Mattingly and E.
Miller, J. Nolen and M. Owen and V. Patrangenaru and S.
Skwere},
Title = {Sticky central limit theorem on open books},
Journal = {Annals of Applied Probability},
Year = {2012},
url = {http://arxiv.org/abs/1202.4267},
Key = {fds209880}
}
%% Perea, Jose A.
@article{fds217202,
Author = {Jose A. Perea and John Harer},
Title = {Sliding Windows and Persistence: An Application of
Topological Methods to Signal Analysis},
Year = {2013},
Month = {March},
Key = {fds217202}
}
@article{fds217201,
Author = {Jose A. Perea and Gunnar Carlsson},
Title = {A Klein-Bottle-Based Dictionary for Texture
Representation},
Year = {2012},
Month = {December},
Key = {fds217201}
}
%% Petters, Arlie O
@book{fds15387,
Author = {A. O. Petters and M. C. Werner},
Title = {Gravitational Lensing and Black Holes},
Publisher = {Springer, in preparation},
Year = {2013},
Month = {December},
Key = {fds15387}
}
@book{fds51036,
Author = {A. O. Petters and X. Dong},
Title = {Mathematical Finance with Applications: Understanding and
Buiding Financial Intuition},
Series = {SUMAT},
Publisher = {Springer, in preparation},
Year = {2013},
Month = {August},
Key = {fds51036}
}
%% Reed, Michael C
@article{fds212657,
Author = {M. Patel and M. Reed},
Title = {Stimulus Encoding Within the Barn Owl Optic Tectum Using
Gamma Oscillations versus Spike Rate: A Modeling
Approach.},
Journal = {Network: Computation in Neural Systems},
Year = {2012},
Key = {fds212657}
}
@article{fds212605,
Author = {M. Reed and H. F. Nijhout and J. Best},
Title = {Mathematical insights into the effects of
levodopa},
Journal = {Frontiers in Integrative Neuroscience},
Volume = {6},
Pages = {1-24},
Year = {2012},
Key = {fds212605}
}
@article{fds212604,
Author = {S. Luo and M. Reed and J. Mattingly and K, Koelle},
Title = {population dynamics of antigenic immune escape The impact of
host immune status on the within-host and},
Journal = {J. Royal Soc. Interface},
Volume = {(doi: 10.1098/rsif.2012.0180)},
Year = {2012},
Key = {fds212604}
}
@article{fds212606,
Author = {T. Duncan and M. Reed and H. F. Nijhout},
Title = {The relationship between intracellular and plasma levels of
folate and metabolites in the methionine cycle: A
model},
Journal = {Mol. Food Nutr. Res.},
Volume = {DOI 10.1002/mnfr.201200125},
Pages = {1-9},
Year = {2012},
Key = {fds212606}
}
@article{fds212607,
Author = {R. Ben-Shachar and Y, Chen and S. Luo and C. Hartman and M. Reed and H. F.
Nijhout},
Title = {The biochemistry of acetaminophen hepatotoxicity and rescue:
a mathematical model},
Journal = {Theoretical Biology and Medical Modeling},
Year = {2012},
Key = {fds212607}
}
@article{fds212603,
Author = {Geenen S and du Preez FB and Reed MC and Nijhout HF and Kenna JG and Wilson
ID, Westerhoff HV and Snoep JL},
Title = {A Mathematical Modelling Approach to Assessing the
Reliability of Biomarkers of Glutathione
Metabolism},
Journal = {Eur. J. Pharm. Sci. (doi:10.1016/j.ejps.2011.08.017)},
Year = {2012},
Key = {fds212603}
}
@article{fds166340,
Author = {C. Mitchell and M.C. Reed},
Title = {Do Real Neurons Have Time Windows?},
Journal = {Journal of Computational Neuroscience},
Year = {2012},
Key = {fds166340}
}
%% Ryser, Marc D
@article{fds212242,
Author = {M.D. Ryser and Y. Qu and S.V. Komarova},
Title = {Osteoprotegerin in bone metastases: mathematical solution to
the puzzle},
Journal = {J. Comput. Biol.},
Year = {2012},
Month = {October},
Key = {fds212242}
}
@article{fds207668,
Author = {M. Hairer and M.D. Ryser and H. Weber},
Title = {Triviality of the 2D stochastic Allen-Cahn
equation},
Journal = {Electron. J. Probab.},
Year = {2012},
Month = {May},
url = {http://ejp.ejpecp.org/article/view/1731},
Key = {fds207668}
}
@book{fds215731,
Author = {M.D. Ryser and S.V. Komarova},
Title = {Mathematical modeling of cancer metastases},
Booktitle = {Computational Bioengineering},
Publisher = {CRC/Taylor & Francis},
Key = {fds215731}
}
%% Saab, Rayan
@article{fds211571,
Author = {F. Krahmer and R. Saab and R. Ward},
Title = {Root-exponential accuracy for coarse quantization of finite
frame expansions},
Journal = {IEEE Transactions on Information Theory},
Year = {2012},
Month = {February},
url = {http://http://www.math.duke.edu/~rayans/publications/RootExponential.pdf},
Key = {fds211571}
}
@article{fds211573,
Author = {M. P. Friedlander and H. Mansour and R. Saab and Ö.
Yilmaz},
Title = {Recovering Compressively Sampled Signals Using Partial
Support Information},
Journal = {IEEE Transactions on Information Theory},
Year = {2012},
Month = {February},
url = {http://arxiv.org/pdf/1010.4612v2},
Key = {fds211573}
}
@article{fds211575,
Author = {N. Strawn and A. Armagan and R.Saab, L. Carin and D.
Dunson},
Title = {Finite sample posterior concentration in high-dimensional
regression},
Year = {2012},
Key = {fds211575}
}
@article{fds211574,
Author = {A. Powell and R. Saab and O. Yilmaz},
Title = {Quantization and finite frames},
Booktitle = {Finite frames},
Editor = {P. Casazza and G. Kutyniok},
Year = {2012},
ISBN = {978-0-8176-8373-3},
Key = {fds211574}
}
@article{fds211572,
Author = {S. Güntürk and M. Lammers and A. Powell and R. Saab and O.
Yilmaz.},
Title = {Sobolev duals for random frames and Sigma-Delta quantization
of compressed sensing measurements},
Journal = {Foundations of Computational Mathematics},
Year = {2012},
Key = {fds211572}
}
%% Saper, Leslie D.
@article{fds213232,
Author = {L. Ji and K. Murty and L. Saper and J. Scherk},
Title = {The Fundamental Group of Reductive Borel-Serre and Satake
Compactifications},
Year = {2012},
Month = {April},
Abstract = {Let <b>G</b> be an almost simple, simply connected algebraic
group defined over a number field <i>k</i>, and let <i>S</i>
be a finite set of places of <i>k</i> including all infinite
places. Let <i>X</i> be the product over
<nobr><i>v</i> ∈ <i>S</i></nobr> of the
symmetric spaces associated to <b>G</b>(<i>k<sub>v</sub></i>),
when <i>v</i> is an infinite place, and the Bruhat-Tits
buildings associated to <b>G</b>(<i>k<sub>v</sub></i>), when
<i>v</i> is a finite place. The main result of this paper is
to compute explicitly the fundamental group of the reductive
Borel-Serre compactification of <nobr>Γ \ <i>X</i></nobr>,
where Γ is an <i>S</i>-arithmetic subgroup of
<b>G</b>. In the case that Γ is neat, we show that
this fundamental group is isomorphic to <nobr>Γ / <i>E</i>Γ</nobr>,
where <i>E</i>Γ is the subgroup generated by the
elements of Γ belonging to unipotent radicals of
parabolic <i>k</i>-subgroups. Analogous computations of the
fundamental group of the Satake compactifications are made.
It is noteworthy that calculations of the congruence
subgroup kernel <nobr><i>C</i>(<i>S</i>,<b>G</b>)</nobr>
yield similar results.},
Key = {fds213232}
}
%% Schoen, Chad
@article{fds215558,
Author = {C. Schoen},
Title = {The geometric genus of a desingularized fiber product of
elliptic surfaces},
Journal = {Proceedings of the American Mathematical
Society},
Volume = {141},
Number = {3},
Pages = {745-752},
Year = {2013},
Key = {fds215558}
}
%% Schott, Sarah
@article{fds212558,
Author = {Bookman, Rann Bar-On and Benjamin Cooke and Sarah
Schott},
Title = {(Re)discovering SoTL through a Fundamental Challenge:
Helping Students Transition to College Calculus},
Journal = {MAA Notes: Guide to the Scholarship of Teaching and Learning
in Mathematics},
Year = {2012},
Month = {Fall},
Key = {fds212558}
}
@article{fds212559,
Author = {Mark Huber, and Sarah Schott},
Title = {Random Construction of Interpolating Sets for High
Dimensional Integration},
Journal = {Journal of Applied Probability},
Year = {2012},
Key = {fds212559}
}
%% Sivakoff, David J.
@article{fds208127,
Author = {R. Durrett and J.P. Gleeson and A. Lloyd and P.J. Mucha and F. Shi and D.
Sivakoff, J. Socolar and C. Varghese},
Title = {Graph fission in an evolving voter model},
Journal = {PNAS},
Volume = {109},
Number = {10},
Pages = {3682-3687},
Year = {2012},
Month = {March},
Key = {fds208127}
}
@article{fds208130,
Author = {C.D. Brummitt and S. Chatterjee and P.S. Dey and D.
Sivakoff},
Title = {Jigsaw percolation: What social networks can collaboratively
solve a puzzle?},
Year = {2012},
url = {http://arxiv.org/abs/1207.1927},
Key = {fds208130}
}
@article{fds208129,
Author = {J. Gravner and C. Hoffman and J. Pfeiffer and D. Sivakoff},
Title = {Bootstrap percolation on the Hamming torus},
Year = {2012},
url = {http://arxiv.org/abs/1202.5351},
Key = {fds208129}
}
@article{fds212003,
Author = {D. Sivakoff},
Title = {Contact process on random graphs with communities},
Year = {2012},
url = {http://arxiv.org/abs/1210.3434},
Key = {fds212003}
}
%% Stern, Mark A
@article{fds212380,
Author = {Ilarion V. Melnikov and Callum Quigley and Savdeep Sethi and M.A.
Stern},
Title = {Target Spaces from Chiral Gauge Theories},
Journal = {hep-th arxiv: 1212.1212},
Year = {2012},
Month = {December},
url = {http://xxx.lanl.gov/abs/1212.1212},
Abstract = {http://xxx.lanl.gov/abs/1212.1212},
Key = {fds212380}
}
@article{fds212392,
Author = {M.A. Stern},
Title = {Geometry of stable Yang--Mills connections},
Booktitle = {Advanced Lectures in Mathematics Volume 21: Advances in
Geometric Analysis},
Year = {2012},
Month = {July},
ISBN = {ISBN 9781571462480},
Abstract = {This paper is a survey of recent results of the author on
minimal energy Yang-Mills connections.},
Key = {fds212392}
}
@article{fds212391,
Author = {Callum Quigley and Savdeep Sethi and Mark Stern},
Title = {Novel Branches of (0,2) Theories},
Journal = {JHEP},
Volume = {1209},
Number = {064},
Year = {2012},
ISSN = {1029-8479},
url = {http://xxx.lanl.gov/abs/1206.3228},
Abstract = {We show that recently proposed linear sigma models with
torsion can be obtained from unconventional branches of
conventional gauge theories. This observation puts models
with log interactions on firm footing. If non-anomalous
multiplets are integrated out, the resulting low-energy
theory involves log interactions of neutral fields. For
these cases, we find a sigma model geometry which is both
non-toric and includes brane sources. These are heterotic
sigma models with branes. Surprisingly, there are massive
models with compact complex non-Kahler target spaces, which
include brane/anti-brane sources. The simplest conformal
models describe wrapped heterotic NS5-branes. We present
examples of both types.},
Key = {fds212391}
}
%% Totz, Nathan
@article{fds199141,
Author = {N. Totz and S. Wu},
Title = {A Rigorous Justification of the Modulation Approximation to
the 2D Full Water Wave Problem},
Journal = {Communications in Mathematical Physics},
Volume = {310},
Number = {3},
Pages = {817-883},
Publisher = {Springer},
Year = {2012},
url = {http://arxiv.org/abs/1101.0545},
Abstract = {We consider solutions to the 2D inviscid infinite depth
water wave problem neglecting surface tension which are to
leading order wave packets of the form $\alpha + \epsilon
B(\epsilon \alpha, \epsilon t, \epsilon^2 t)e^{i(k\alpha +
\omega t)}$ for $k > 0$. Multiscale calculations formally
suggest that such solutions have modulations $B$ that evolve
on slow time scales according to a focusing cubic NLS
equation. Justifying this rigorously is made difficult by
the fact that known existence results do not yield solutions
which exist for long enough to see the NLS dynamics.
Nonetheless, given initial data within $O(\epsilon^{3/2})$
of such wave packets in $L^2$ Sobolev space, we show that
there exists a unique solution to the water wave problem
which remains within $O(\epsilon^{3/2})$ to the approximate
solution for times of order $O(\epsilon^{-2})$. This is done
by using a version of the evolution equations for the water
wave problem developed recently by Sijue Wu with no
quadratic nonlinearity.},
Key = {fds199141}
}
%% Trangenstein, John
@article{3547392,
Author = {Trangenstein, J.A. and Bell, J.B.},
Title = {Mathematical structure of compositional reservoir
simulation},
Journal = {SIAM J. Sci. Stat. Comput. (USA)},
Volume = {10},
Number = {5},
Pages = {817 - 45},
Keywords = {chemical technology;numerical methods;petroleum
industry;two-phase flow;},
Abstract = {Multicomponent two-phase isothermal fluid flow in petroleum
reservoirs is described. The fluid-flow model consists of
component conservation equations. Darcy's law for the
volumetric flow rates, balance between the fluid volume and
the rock void, and the conditions of thermodynamic
equilibrium that determine the distribution of the chemical
components into phases. Thermodynamic equilibrium is
described by means of a mathematical model for the chemical
potentials of each component in each phase of the fluid. The
flow equations are manipulated to form a pressure equation
and a modified component-conservation equation: these form
the basis for the sequential method. It is shown that the
pressure equation is parabolic under reasonable assumptions
on the thermodynamic equilibrium model, and that the
component-conservation equations are hyperbolic in the
absence of diffusive forces such as capillary pressure and
mixing. A numerical method based on the sequential
formulation of the flow equations is outlined and used to
illustrate the kinds of flow behavior that occur during
miscible gas injection},
Key = {3547392}
}
%% Venakides, Stephanos
@article{fds212305,
Author = {A. Tovbis and S. Venakides},
Title = {Semiclassical Limit of the Scattering Transform for the
Focusing Nonlinear Schrödinger Equation},
Journal = {Int Math Res Notices},
Volume = {2012},
Number = {10},
Pages = {2212-2271},
Year = {2012},
Abstract = {The semiclassical limit of the focusing Nonlinear (cubic)
Schrödinger Equation corresponds to the singularly
perturbed Zakharov–Shabat (ZS) system that defines the
direct and inverse scattering transforms (IST). In this
paper, we derive explicit expressions for the leading-order
terms of these transforms, which we call semiclassical
limits of the direct and IST. Thus, we establish an explicit
connection between the decaying initial data of the form
q(x,0)=A(x)eiS(x) and the leading order term of its
scattering data. This connection is expressed in terms of an
integral transform that can be viewed as a complexified
version of the Abel transform. Our technique is not based on
the Wentzel–Kramers–Brillouin (WKB) analysis of the ZS
system, but on the inversion of the modulation equations
that solve the inverse scattering problem in the leading
order. The results are illustrated by a number of
examples.},
Key = {fds212305}
}
@article{fds212306,
Author = {S. Shipman and S. Venakides},
Title = {An exactly solvable model for nonlinear resonant
scattering},
Journal = {Nonlinearity},
Volume = {25},
Number = {9},
Pages = {2473-2501},
Year = {2012},
Abstract = {This work analyses the effects of cubic nonlinearities on
certain resonant scattering anomalies associated with the
dissolution of an embedded eigenvalue of a linear scattering
system. These sharp peak-dip anomalies in the frequency
domain are often called Fano resonances. We study a simple
model that incorporates the essential features of this kind
of resonance. It features a linear scatterer attached to a
transmission line with a point-mass defect and coupled to a
nonlinear oscillator. We prove two power laws in the small
coupling (γ → 0) and small nonlinearity (μ → 0)
regime. The asymptotic relation μ ~ Cγ4 characterizes the
emergence of a small frequency interval of triple harmonic
solutions near the resonant frequency of the oscillator. As
the nonlinearity grows or the coupling diminishes, this
interval widens and, at the relation μ ~ Cγ2, merges with
another evolving frequency interval of triple harmonic
solutions that extends to infinity. Our model allows
rigorous computation of stability in the small μ and γ
limit. The regime of triple harmonic solutions exhibits
bistability—those solutions with largest and smallest
response of the oscillator are linearly stable and the
solution with intermediate response is unstable.},
Key = {fds212306}
}
%% Vogelstein, Joshua
@article{Fishkind2012,
Author = {Fishkind, Donniell E. and Sussman, Daniel L. and Tang, Minh and Vogelstein, Joshua T. and Priebe, Carey
E.},
Title = {Consistent adjacency-spectral partitioning for the
stochastic block model when the model parameters are
unknown},
Journal = {Arxiv preprint},
Pages = {20},
Publisher = {submitted, arXiv:1205.0309v1},
Year = {2012},
Month = {May},
url = {http://arxiv.org/abs/1205.0309},
Abstract = {A stochastic block model consists of a random partition of n
vertices into blocks 1,2,...,K for which, conditioned on the
partition, every pair of vertices has probability of
adjacency entirely determined by the block membership of the
two vertices. (The model parameters are K, the distribution
of the random partition, and a communication probability
matrix M in [0,1]\^{}(K x K) listing the adjacency
probabilities associated with all pairs of blocks.) Suppose
a realization of the n x n vertex adjacency matrix is
observed, but the underlying partition of the vertices into
blocks is not observed; the main inferential task is to
correctly partition the vertices into the blocks with only a
negligible number of vertices misassigned. For this
inferential task, Rohe et al. (2011) prove the consistency
of spectral partitioning applied to the normalized
Laplacian, and Sussman et al. (2011) extend this to prove
consistency of spectral partitioning directly on the
adjacency matrix; both procedures assume that K and rankM
are known, even as the rest of the parameters may be
unknown. In this article, we prove that the (suitably
modified) adjacency-spectral partitioning procedure is
consistent even if the only thing that is known about the
parameters is any upper bound on rankM. In particular, this
result shows a robustness in the adjacency-spectral
partitioning procedure.},
Key = {Fishkind2012}
}
@article{Roberts2012,
Author = {Roberts, N. J. and Vogelstein, Joshua T. and Parmigiani,
Giovanni and Kinzler, K. W. and Vogelstein, Bert and Velculescu, Victor E},
Title = {The Predictive Capacity of Personal Genome
Sequencing},
Journal = {Science Translational Medicine},
Year = {2012},
Month = {April},
ISSN = {1946-6234},
url = {http://stm.sciencemag.org/cgi/doi/10.1126/scitranslmed.3003380},
Doi = {10.1126/scitranslmed.3003380},
Key = {Roberts2012}
}
@article{fds213021,
Author = {Joshua T. Vogelstein and William R. Gray and R. Jacob Vogelstein and Carey E. Priebe},
Title = {Graph Classification using Signal Subgraphs: Applications in
Statistical Connectomics.},
Journal = {IEEE Transactions on Pattern Analysis and Machine
Intelligence},
Volume = {in press},
Year = {2012},
url = {http://arxiv.org/abs/1108.1427},
Key = {fds213021}
}
@article{fds213022,
Author = {Dai E and He H and Vogelstein JT and Hou Zengguag},
Title = {Accurate Prediction of AD Patients using Cortical Thickness
Networks.},
Journal = {Machine Vision and Applications.},
Year = {2012},
Key = {fds213022}
}
@article{fds213023,
Author = {CE Priebe and DL Sussman and M Tang and JT Vogelstein},
Title = {Statistical inference on errorfully observed
graphs},
Journal = {JASA},
Year = {2012},
Key = {fds213023}
}
@article{fds213024,
Author = {Q Wu and D Carlson and W Lian and M Zhou and CR Stoetzner and D Kipke and D
Weber, JT Vogelstein and D Dunson and L Carin},
Title = {Sorting Electrophysiological Data via Dictionary Learning &
Mixture Modeling},
Journal = {IEEE TBME},
Year = {2012},
Key = {fds213024}
}
@article{fds213025,
Author = {D Koutra and JT Vogelstein and C Faloutsos},
Title = {DeltaCon: Measuring Connectivity Differences in Large
Networks},
Journal = {SIAM International Conference on Data Mining},
Year = {2012},
Key = {fds213025}
}
@article{fds213026,
Author = {J. Vogelstein},
Title = {Large (Brain) Graph Matching via Fast Approximate Quadratic
Programming},
Journal = {PAMI},
Year = {2012},
Key = {fds213026}
}
@article{fds213028,
Author = {J. Vogelstein},
Title = {Shuffled Graph Classification: Theory and Applications in
Statistical Connectomics.},
Journal = {Journal of Classification},
Year = {2012},
Key = {fds213028}
}
@article{Gray2012,
Author = {Gray, William R. and Kleissas, Dean M and Burck, James M and Vogelstein, Joshua T. and Perlman, Eric and Burlina,
Philippe M and Burns, Randal and Vogelstein, R.
Jacob},
Title = {Towards a Fully Automatic Pipeline for Connectome Estimation
from High-Resolution Electron Microscopy
Data},
Journal = {Cold Spring Harbor Labs conference on Neural
Circuits},
Year = {2012},
Key = {Gray2012}
}
%% Wang, Yi (Grace)
@article{fds212065,
Author = {Y. Wang},
Title = {Hybrid Linear Modeling via Local Best Flats},
Journal = {International Journal of Computer Vision},
Volume = {100},
Number = {3},
Pages = {217-240},
Year = {2012},
Month = {December},
ISSN = {0920-5691},
Key = {fds212065}
}
@article{fds212064,
Author = {Y. Wang and F. Porikli},
Title = {Multiple Dictionary Learning for Blocking Artifacts
Reduction},
Journal = {Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE
International Conference on},
Year = {2012},
ISSN = {1520-6149},
Key = {fds212064}
}
@article{fds212063,
Author = {Y. Wang and A. Szlam and G. Lerman},
Title = {Robust Locally Linear Analysis with Applications to Image
Denoising and Blind Inpainting},
Journal = {SIAM Journal on Imaging Sciences},
Year = {2012},
ISSN = {1936-4954},
Key = {fds212063}
}
%% Witelski, Thomas P.
@article{fds215741,
Author = {S.J.Chapman, P.H.Trinh and T.P. Witelski},
Title = {Exponential asymptotics for thin film rupture},
Journal = {SIAM Journal on Applied Mathematics},
Volume = {73},
Number = {1},
Pages = {232-253},
Year = {2013},
url = {http://dx.doi.org/10.1137/120872012},
Doi = {10.1137/120872012},
Key = {fds215741}
}
@article{fds204434,
Author = {T.P. Witelski and D. Ambrose and A. Bertozzi and A. Layton and ZL. Li and M. Minion},
Title = {Preface: special issue on fluid dynamics, analysis and
numerics},
Journal = {Discrete and Continuous Dynamical Systems Series
B},
Volume = {17},
Number = {4},
Pages = {i-ii},
Year = {2012},
Month = {June},
Key = {fds204434}
}
@article{fds207768,
Author = {R. Wiebe and L.N. Virgin and T. P. Witelski},
Title = {A parametrically forced nonlinear system with reversible
equilibria},
Journal = {International Journal of Bifurcation and
Chaos},
Volume = {22},
Number = {6},
Pages = {1230020},
Year = {2012},
url = {http://dx.doi.org/10.1142/S0218127412300200},
Doi = {10.1142/S0218127412300200},
Key = {fds207768}
}
@article{fds212078,
Author = {Y. Huang and T.P. Witelski and A. L. Bertozzi},
Title = {Anomalous exponents of self-similar blowup solutions to an
aggregation equation in odd dimensions},
Journal = {Applied Mathematics Letters},
Volume = {25},
Number = {12},
Pages = {2317-2321},
Year = {2012},
url = {http://dx.doi.org/10.1016/j.aml.2012.06.023},
Doi = {10.1016/j.aml.2012.06.023},
Key = {fds212078}
}
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Mathematics Department