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Mathematics Faculty: Publications since January 2014

List all publications in the database.    :chronological  alphabetical  combined listing:
%% Addington, Nicolas   
@article{fds225141,
   Author = {N. Addington},
   Title = {On two rationality conjectures for cubic
             fourfolds},
   Journal = {Math. Res. Lett.},
   Year = {2014},
   Month = {May},
   url = {http://arxiv.org/abs/1405.4902},
   Key = {fds225141}
}

@article{fds225601,
   Author = {N. Addington and M. Lehn},
   Title = {On the symplectic eightfold associated to a Pfaffian cubic
             fourfold},
   Journal = {J. Reine Angew. Math.},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/abs/1404.5657},
   Key = {fds225601}
}

@article{fds225599,
   Author = {N. Addington and W. Donovan and E. Segal},
   Title = {The Pfaffian-Grassmannian equivalence revisited},
   Journal = {Alg. Geom.},
   Year = {2014},
   Month = {January},
   url = {http://arxiv.org/abs/1401.3661},
   Key = {fds225599}
}

@article{fds224079,
   Author = {N. Addington and R. P. Thomas},
   Title = {Hodge theory and derived categories of cubic
             fourfolds},
   Journal = {Duke Math. J.},
   Volume = {163},
   Number = {10},
   Pages = {1885-1927},
   Year = {2014},
   url = {http://arxiv.org/abs/1211.3758},
   Key = {fds224079}
}

@article{fds225760,
   Author = {N. Addington and E. Segal and E. Sharpe},
   Title = {D-brane probes, branched double covers, and noncommutative
             resolutions},
   Journal = {Adv. Theor. Math. Phys.},
   Volume = {18},
   Number = {6},
   Pages = {1369-1436},
   Year = {2014},
   url = {http://arxiv.org/abs/1211.2446},
   Key = {fds225760}
}


%% Aristotelous, Andreas   
@article{fds224099,
   Author = {Aristotelous, A. C. and Durrett, R.},
   Title = {Fingering in Stochastic Growth Models.},
   Journal = {Experimental Mathematics},
   Year = {2014},
   Month = {July},
   Key = {fds224099}
}

@article{fds223440,
   Author = {Andreas C. Aristotelous and Ohannes A. Karakashian and Steven
             M.Wise},
   Title = {Adaptive, Second-Order in Time, Primitive-Variable
             Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation
             with a Mass Source},
   Journal = {IMA Journal of Numerical Analysis},
   Year = {2014},
   Month = {March},
   Key = {fds223440}
}

@article{fds223439,
   Author = {A. C. Aristotelous and M. A. Haider},
   Title = {Evaluation of Diffusive Transport and Cellular Uptake of
             Nutrients in Tissue Engineered Constructs using a Hybrid
             Discrete Model},
   Journal = {Processes},
   Year = {2014},
   Month = {March},
   Key = {fds223439}
}

@article{fds223438,
   Author = {Andreas C. Aristotelous and Richard Durrett},
   Title = {Chemical Evolutionary Games},
   Journal = {Theoretical Population Biology},
   Year = {2014},
   Month = {February},
   Key = {fds223438}
}

@article{fds223441,
   Author = {Andreas C. Aristotelous and Mansoor A. Haider},
   Title = {Use of Hybrid Discrete Cellular Models for Identification of
             Macroscopic Nutrient Loss in Reaction-Diffusion Models of
             Tissues.},
   Journal = {Int. J. Numer. Meth. Biomed. Engng.},
   Year = {2014},
   Month = {February},
   Key = {fds223441}
}


%% Aspinwall, Paul S   
@article{fds225809,
   Author = {P.S. Aspinwall and Ben Gaines},
   Title = {Rational Curves and (0,2)-Deformations},
   Journal = {Journal of Geometry and Physics},
   Year = {2014},
   url = {http://arxiv.org/abs/1404.7802},
   Key = {fds225809}
}

@article{fds225810,
   Author = {P.S. Aspinwall},
   Title = {Exoflops in Two Dimensions},
   Year = {2014},
   url = {http://arxiv.org/abs/1412.0612},
   Key = {fds225810}
}

@article{fds225808,
   Author = {P.S. Aspinwall},
   Title = {A McKay-Like Correspondence for (0,2)-Deformations},
   Journal = {Advances in Theoretical and Mathematical
             Physics},
   Volume = {18},
   Number = {4},
   Pages = {761-797},
   Year = {2014},
   url = {http://arxiv.org/abs/1110.2524},
   Key = {fds225808}
}


%% Bar-On, Rann   
@misc{fds178687,
   Author = {R. Bar-On},
   Title = {105L-106L Coursepack, Fall 2014 and Spring
             2015},
   Year = {2014},
   Month = {August},
   Key = {fds178687}
}

@article{fds225803,
   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},
   Volume = {83},
   Series = {MAA Notes},
   Pages = {59-66},
   Booktitle = {Doing the Scholarship of Teaching and Learning in
             Mathematics},
   Publisher = {The Mathematical Association of America},
   Editor = {Jacqueline M. Dewar and Curtis D. Bennett},
   Year = {2014},
   ISBN = {9780883851937},
   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 = {fds225803}
}


%% Beale, J. Thomas   
@article{fds225997,
   Author = {J. T. Beale},
   Title = {Uniform error estimates for Navier-Stokes flow with a moving
             boundary using the immersed interface method},
   Journal = {SIAM J. Numer. Anal.},
   Year = {2015},
   url = {http://www.math.duke.edu/faculty/beale/papers/nseiim.pdf},
   Key = {fds225997}
}


%% Bendich, Paul L.   
@article{fds226628,
   Author = {Liz Munch and Paul Bendich and Kate Turner and Sayan Mukherjee and Jonathan Mattingly and John Harer},
   Title = {Probabalistic Frechet Means and Statistics on
             Vineyards},
   Journal = {Electronic Journal of Statistics},
   Volume = {9},
   Pages = {1173-1204},
   Year = {2015},
   url = {http://arxiv.org/abs/1307.6530},
   Abstract = {In order to use persistence diagrams as a true statistical
             tool, it would be very useful to have a good notion of mean
             and variance for a set of diagrams. In [21], Mileyko and his
             collaborators made the rst study of the properties of the
             Frechet mean in (Dp;Wp), the space of persistence diagrams
             equipped with the p-th Wasserstein metric. In particular,
             they showed that the Frechet mean of a nite set of diagrams
             always exists, but is not necessarily unique. As an
             unfortunate consequence, one sees that the means of a
             continuously-varying set of diagrams do not themselves vary
             continuously, which presents obvious problems when trying to
             extend the Frechet mean de nition to the realm of
             vineyards. We x this problem by altering the original de
             nition of Frechet mean so that it now becomes a probability
             measure on the set of persistence diagrams; in a nutshell,
             the mean of a set of diagrams will be a weighted sum of
             atomic measures, where each atom is itself the (Frechet
             mean) persistence diagram of a perturbation of the input
             diagrams. We show that this new de nition de nes a (Holder)
             continuous map, for each k, from (Dp)k ! P(Dp), and we
             present several examples to show how it may become a useful
             statistic on vineyards.},
   Key = {fds226628}
}

@article{fds226621,
   Author = {Christopher J Tralie and Paul Bendich},
   Title = {Cover Song Identification with Timbral Shape},
   Journal = {Proceedings of the 16th International Society for Music
             Information Retrieval},
   Year = {2015},
   Key = {fds226621}
}

@article{fds226627,
   Author = {David Rouse and Adam Watkins and David Porter and John Harer and Paul
             Bendich, Nate Strawn and Elizabeth Munch and Jonathan DeSena and Jesse
             Clarke, Jeff Gilbert and Sang Chin and Andrew
             Newman},
   Title = {Feature-Aided Multiple Hypothesis Tracking Using Topological
             and Statistical Behavior Classifiers},
   Journal = {SPIE DSS 2015},
   Volume = {9474},
   Year = {2015},
   Key = {fds226627}
}

@article{fds226383,
   Author = {Paul Bendich and Ellen Gasparovic and John Harer and Rauf Ismailov and Linda Ness},
   Title = {Multi-Scale Local Shape Analysis and Feature Selection in
             Machine Learning Applications},
   Journal = {Proceedings of the 2015 International Joint Conference on
             Neural Networks},
   Year = {2015},
   Key = {fds226383}
}


%% 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}
}


%% Bobrowski, Omer   
@article{fds225074,
   Author = {O. Bobrowski and M. Kahle},
   Title = {Topology of Random Geometric Complexes: A
             Survey},
   Year = {2014},
   Key = {fds225074}
}

@article{fds225075,
   Author = {O. Bobrowski and S. Mukherjee and J. S. Taylor},
   Title = {Topological Consistency via Kernel Estimation},
   Year = {2014},
   Key = {fds225075}
}

@article{fds225071,
   Author = {O. Bobrowski and S. Mukherjee},
   Title = {The Topology of Probability Distributions on
             Manifolds},
   Journal = {Probability Theory and Related Fields},
   Year = {2014},
   url = {http://dx.doi.org/10.1007/s00440-014-0556-x},
   Doi = {10.1007/s00440-014-0556-x},
   Key = {fds225071}
}

@article{fds225072,
   Author = {R. J. Adler and O. Bobrowski and S. Weinberger},
   Title = {Crackle: The Homology of Noise},
   Journal = {Discrete and Computational Geometry},
   Year = {2014},
   url = {http://dx.doi.org/10.1007/s00454-014-9621-6},
   Doi = {10.1007/s00454-014-9621-6},
   Key = {fds225072}
}

@article{fds225073,
   Author = {O. Bobrowski and R. J. Adler},
   Title = {Distance Functions, Critical Points and the Topology of
             Random Čech Complexes},
   Journal = {Homology, Homotopy and Applications},
   Year = {2014},
   Key = {fds225073}
}


%% Bray, Hubert L.   
@article{fds226500,
   Author = {H.L. Bray and J. L. Jauregui},
   Title = {On Curves with Nonnegative Torsion},
   Journal = {Archiv der Mathematik},
   Volume = {104},
   Number = {6},
   Pages = {561-575},
   Year = {2015},
   url = {http://www.springer.com/-/0/c8d239381b86496b96d95ff26f1061eb},
   Key = {fds226500}
}

@article{fds226470,
   Author = {H.L. Bray and A. R. Parry},
   Title = {Modeling Wave Dark Matter in Dwarf Spheroidal
             Galaxies},
   Journal = {Proceedings of IARD 2014, Journal of Physics: Conference
             Series},
   Volume = {615},
   Year = {2015},
   url = {http://iopscience.iop.org/1742-6596/615/1/012001/},
   Key = {fds226470}
}

@article{fds226475,
   Author = {L.A. Martinez-Medina and H.L. Bray and T. Matos},
   Title = {On wave dark matter in spiral and barred
             galaxies},
   Year = {2015},
   url = {http://arxiv.org/abs/1505.07154},
   Key = {fds226475}
}

@article{fds225574,
   Author = {H.L. Bray and A.S. Goetz},
   Title = {Wave Dark Matter and the Tully-Fisher Relation},
   Year = {2014},
   Month = {September},
   url = {http://www.math.duke.edu/~bray/darkmatter/darkmatter.html},
   Key = {fds225574}
}

@article{fds223450,
   Author = {H.L. Bray and J. L. Jauregui},
   Title = {Time Flat Surfaces and the Monotonicity of the Spacetime
             Hawking Mass},
   Journal = {Communications in Mathematical Physics},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/abs/1310.8638},
   Key = {fds223450}
}

@article{fds223121,
   Author = {H.L. Bray and J. L. Jauregui and M. Mars},
   Title = {Time Flat Surfaces and the Monotonicity of the Spacetime
             Hawking Mass II},
   Year = {2014},
   Month = {February},
   url = {http://arxiv.org/abs/1402.3287},
   Abstract = {In this sequel paper we give a shorter, second proof of the
             monotonicity of the Hawking mass for time flat surfaces
             under spacelike uniformly area expanding flows in spacetimes
             that satisfy the dominant energy condition. We also include
             a third proof which builds on a known formula and describe a
             class of sufficient conditions of divergence type for the
             monotonicity of the Hawking mass. These flows of surfaces
             may have connections to the problem in general relativity of
             bounding the total mass of a spacetime from below by the
             quasi-local mass of spacelike 2-surfaces in the
             spacetime.},
   Key = {fds223121}
}


%% Bryant, Robert L   
@article{fds223639,
   Author = {R.L. Bryant},
   Title = {Notes on Exterior Differential Systems},
   Year = {2014},
   Month = {May},
   url = {http://arxiv.org/abs/1405.3116},
   Keywords = {exterior differential systems Lie theory differential
             geometry},
   Abstract = {These are notes for a very rapid introduction to the basics
             of exterior differential systems and their connection with
             what is now known as Lie theory, together with some typical
             and not-so-typical applications to illustrate their
             use.},
   Key = {fds223639}
}

@article{fds223640,
   Author = {R.L. Bryant},
   Title = {S.-s. Chern's study of almost-complex structures on the
             six-sphere},
   Year = {2014},
   Month = {May},
   url = {http://arxiv.org/abs/1405.3405},
   Keywords = {6-sphere complex structure exceptional geometry},
   Abstract = {In 2003, S.-s. Chern began a study of almost-complex
             structures on the 6-sphere, with the idea of exploiting the
             special properties of its well-known almost-complex
             structure invariant under the exceptional group G2. While he
             did not solve the (currently still open) problem of
             determining whether there exists an integrable
             almost-complex structure on the 6-sphere, he did prove a
             significant identity that resolves the question for an
             interesting class of almost-complex structures on the
             6-sphere.},
   Key = {fds223640}
}


%% Cahill, Jameson   
@article{fds225806,
   Author = {Jameson Cahill and Dustin G. Mixon},
   Title = {Robust width: A characterization of uniformly stable and
             robust compressed sensing},
   Year = {2014},
   url = {http://arxiv.org/abs/1408.4409},
   Abstract = {http://arxiv.org/abs/1408.4409},
   Key = {fds225806}
}

@article{fds225807,
   Author = {Saeid Bahmanpour and Jameson Cahill and Peter G. Casazza and John
             Jasper, Lindsey M. Woodland},
   Title = {Phase retrieval and norm retrieval},
   Year = {2014},
   url = {http://arxiv.org/abs/1409.8266},
   Key = {fds225807}
}


%% Di Cerbo, Luca F.   
@article{fds224000,
   Author = {G. Di Cerbo and L.F. Di Cerbo},
   Title = {A sharp cusp count for complex hyperbolic surfaces and
             related results},
   Journal = {Arch. Math. (Basel)},
   Year = {2014},
   Month = {July},
   url = {http://arxiv.org/abs/1312.5368},
   Key = {fds224000}
}

@article{fds223554,
   Author = {L.F. Di Cerbo},
   Title = {Generic Properties of Homogeneous Ricci Solitons},
   Journal = {Adv. Geom.},
   Volume = {14},
   Number = {2},
   Pages = {225-237},
   Year = {2014},
   url = {http://arxiv.org/abs/0711.0465},
   Key = {fds223554}
}


%% Dolbow, John E.   
@article{6333801,
   Author = {Moes, N. and Dolbow, J. and Belytschko, T.},
   Title = {A finite element method for crack growth without
             remeshing},
   Journal = {Int. J. Numer. Methods Eng. (UK)},
   Volume = {46},
   Number = {1},
   Pages = {131 - 50},
   Year = {10},
   url = {http://dx.doi.org/10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A},
   Keywords = {crack-edge stress field analysis;fatigue cracks;finite
             element analysis;fracture mechanics;},
   Abstract = {An improvement of a new technique for modelling cracks in
             the finite element framework is presented. A standard
             displacement-based approximation is enriched near a crack by
             incorporating both discontinuous fields and the near tip
             asymptotic fields through a partition of unity method. A
             methodology that constructs the enriched approximation from
             the interaction of the crack geometry with the mesh is
             developed. This technique allows the entire crack to be
             represented independently of the mesh, and so remeshing is
             not necessary to model crack growth. Numerical experiments
             are provided to demonstrate the utility and robustness of
             the proposed technique},
   Key = {6333801}
}


%% Fry, Brendan   
@article{fds226007,
   Author = {I Sgouralis and RG Evans and BS Gardiner and JA Smith and BC Fry and AT
             Layton},
   Title = {Renal hemodynamics, function, and oxygenation during cardiac
             surgery performed on cardiopulmonary bypass: A modeling
             study},
   Journal = {Physiological Reports},
   Volume = {3},
   Pages = {e12260},
   Year = {2015},
   Key = {fds226007}
}

@article{fds226453,
   Author = {BC Fry and A Edwards and AT Layton},
   Title = {Impacts of nitric oxide and superoxide on renal medullary
             oxygen transport and urine concentration},
   Journal = {American Journal of Physiology - Renal Physiology},
   Volume = {308},
   Pages = {F967-F980},
   Year = {2015},
   Key = {fds226453}
}

@article{fds225212,
   Author = {BC Fry and AT Layton},
   Title = {Oxygen transport in a cross section of the rat inner
             medulla: Impact of heterogeneous distribution of nephrons
             and vessels},
   Journal = {Mathematical Biosciences},
   Volume = {258},
   Pages = {68-76},
   Year = {2014},
   Key = {fds225212}
}

@article{fds224574,
   Author = {BC Fry and A Edwards and I Sgouralis and AT Layton},
   Title = {Impact of renal medullary three-dimensional architecture on
             oxygen transport},
   Journal = {American Journal of Physiology - Renal Physiology},
   Volume = {307},
   Pages = {F263-F272},
   Year = {2014},
   Key = {fds224574}
}


%% Gasparovic, Ellen   
@article{fds225255,
   Author = {J. Damon and E. Gasparovic},
   Title = {Shape and Positional Geometry of Multi-Object
             Configurations},
   Year = {2014},
   Key = {fds225255}
}

@article{fds225197,
   Author = {P. Bendich and E. Gasparovic and J. Harer and R. Izmailov and L.
             Ness},
   Title = {Multi-scale Local Shape Analysis and Feature Selection in
             Machine Learning Applications},
   Year = {2014},
   url = {http://arxiv.org/abs/1410.3169},
   Key = {fds225197}
}

@article{fds225256,
   Author = {G. Bal and J. Bergbauer and E. W. Chambers and E. Gasparovic and R. Hu and K. Leonard and M. Shaker and C. Wenk},
   Title = {Skeleton-based recognition of shapes in images via longest
             path matching},
   Journal = {to appear in Research in Shape Analysis},
   Year = {2014},
   Key = {fds225256}
}

@article{fds223582,
   Author = {J. Damon and E. Gasparovic},
   Title = {Modeling Multi-Object Configurations Via Medial/Skeletal
             Linking Structures},
   Year = {2014},
   Key = {fds223582}
}


%% Getz, Jayce R.   
@article{fds226265,
   Author = {J.R. Getz and H. Hahn},
   Title = {A general simple relative trace formula},
   Journal = {Pacific J. Math},
   Year = {2015},
   Key = {fds226265}
}

@article{fds226391,
   Author = {J.R. Getz and P. E. Herman},
   Title = {A nonabelian trace formula},
   Journal = {Research in the Mathematical Sciences},
   Year = {2015},
   Abstract = {Let E/F be an extension of number fi elds with Gal(E/F)
             simple and nonabelian. In a recent paper the fi rst named
             author suggested an approach to nonsolvable base change and
             descent of automorphic representations of GL(2) along such
             an extension. Motivated by this we prove a trace formula
             whose spectral side is a weighted sum over cuspidal
             automorphic representations of GL(2) over E that are
             isomorphic to their Gal(E/F)-conjugates.},
   Key = {fds226391}
}

@article{fds225245,
   Author = {J.R. Getz},
   Title = {Invariant four-variable automorphic kernel
             functions},
   Year = {2014},
   Key = {fds225245}
}

@article{fds225056,
   Author = {J.R. Getz},
   Title = {Automorphic kernel functions in four variables},
   Year = {2014},
   Key = {fds225056}
}

@article{fds223281,
   Author = {J.R. Getz and H. Hahn},
   Title = {Algebraic cycles and Tate classes on Hilbert modular
             varieties},
   Journal = {Int. J. Number Theory},
   Volume = {10},
   Number = {1},
   Pages = {161-176},
   Year = {2014},
   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 = {fds223281}
}


%% Hahn, Heekyoung   
@article{fds226264,
   Author = {J. R. Getz and H. Hahn},
   Title = {A general simple relative trace formula},
   Journal = {Pacific J. Math},
   Year = {2015},
   Key = {fds226264}
}

@article{fds222818,
   Author = {J. R. Getz and H. Hahn},
   Title = {Algebraic cycles and Tate classes on Hilbert modular
             varieties},
   Journal = {Int. J. Number Theory},
   Volume = {10},
   Number = {1},
   Pages = {161-176},
   Year = {2014},
   Key = {fds222818}
}


%% Hain, Richard M   
@article{fds226513,
   Author = {D. Arapura and A. Dimca and R. Hain},
   Title = {On the fundamental groups of normal varieties},
   Journal = {Communications in Contemporary Mathematics},
   Year = {2015},
   Month = {June},
   url = {http://arxiv.org/abs/1412.1483},
   Key = {fds226513}
}

@article{fds223909,
   Author = {Richard Hain},
   Title = {Genus 3 Mapping Class Groups are not Kähler},
   Journal = {Journal of Topology},
   Year = {2014},
   Month = {June},
   ISSN = {1753-8416},
   url = {http://jtopol.oxfordjournals.org/content/early/2014/10/31/jtopol.jtu020.short},
   Key = {fds223909}
}

@article{fds226514,
   Author = {Richard Hain},
   Title = {The Hodge-de Rham theory of modular groups},
   Year = {2014},
   Month = {March},
   url = {http://arxiv.org/abs/1403.6443},
   Key = {fds226514}
}

@article{fds223449,
   Author = {Alexandru Dimca and Richard Hain and Stefan Papadima},
   Title = {The abelianization of the Johnson kernel},
   Journal = {Journal of the European Mathematical Society},
   Volume = {16},
   Number = {4},
   Pages = {805-822},
   Year = {2014},
   url = {http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=16&iss=4&rank=6},
   Key = {fds223449}
}


%% Harer, John   
@article{fds221198,
   Author = {Katharine Turner and Yuriy Mileyko and Sayan Mukherjee and John
             Harer},
   Title = {Fréchet Means for Distributions of Persistence
             diagrams},
   Journal = {Discrete and Computational Geometry},
   Volume = {52},
   Pages = {44-70},
   Year = {2014},
   Month = {July},
   url = {http://dx.doi.org/10.1007/s00454-014-9604-7},
   Abstract = {Given a distribution ρ on persistence diagrams and
             observations X1,...Xn∼iidρ we introduce an algorithm in
             this paper that estimates a Fr\'echet mean from the set of
             diagrams X1,...Xn. If the underlying measure ρ is a
             combination of Dirac masses ρ=1m∑mi=1δZi then we prove
             the algorithm converges to a local minimum and a law of
             large numbers result for a Fr\'echet mean computed by the
             algorithm given observations drawn iid from ρ. We
             illustrate the convergence of an empirical mean computed by
             the algorithm to a population mean by simulations from
             Gaussian random fields.},
   Doi = {10.1007/s00454-014-9604-7},
   Key = {fds221198}
}

@article{fds221210,
   Author = {Jose Perea and J. Harer},
   Title = {Sliding Windows and Persistence: An Application of
             Topological Methods to Signal Analysis},
   Journal = {Foundations of Computational Mathematics},
   Year = {2014},
   Month = {May},
   ISSN = {1615-3375},
   Abstract = {We develop in this paper a theoretical framework for the
             topological study of time series data. Broadly speaking, we
             describe geometrical and topological properties of sliding
             window (or time-delay) embeddings, as seen through the lens
             of persistent homology. In particular, we show that maximum
             persistence at the point-cloud level can be used to quantify
             periodicity at the signal level, prove structural and
             convergence theorems for the resulting persistence diagrams,
             and derive estimates for their dependency on window size and
             embedding dimension. We apply this methodology to
             quantifying periodicity in synthetic data sets, and compare
             the results with those obtained using state-of-the-art
             methods in gene expression analysis. We call this new method
             SW1PerS which stands for Sliding Windows and 1-dimensional
             Persistence Scoring.},
   Key = {fds221210}
}

@article{fds225820,
   Author = {S. Bristow and A. Leman and L. Simmons Kovacs and A. Deckard and J.
             Harer, S. B. Haase},
   Title = {Checkpoints Couple Transcription Network Oscillator Dynamics
             to Cell-Cycle Progression},
   Journal = {Genome Biology},
   Volume = {15:446},
   Year = {2014},
   url = {http://dx.doi.org/doi:10.1186/s13059-014-0446-7},
   Abstract = {Background The coupling of cyclin dependent kinases (CDKs)
             to an intrinsically oscillating network of transcription
             factors has been proposed to control progression through the
             cell cycle in budding yeast, Saccharomyces cerevisiae. The
             transcription network regulates the temporal expression of
             many genes, including cyclins, and drives cell-cycle
             progression, in part, by generating successive waves of
             distinct CDK activities that trigger the ordered program of
             cell-cycle events. Network oscillations continue
             autonomously in mutant cells arrested by depletion of CDK
             activities, suggesting the oscillator can be uncoupled from
             cell-cycle progression. It is not clear what mechanisms, if
             any, ensure that the network oscillator is restrained when
             progression in normal cells is delayed or arrested. A recent
             proposal suggests CDK acts as a master regulator of
             cell-cycle processes that have the potential for autonomous
             oscillatory behavior. Results Here we find that mitotic CDK
             is not sufficient for fully inhibiting transcript
             oscillations in arrested cells. We do find that activation
             of the DNA replication and spindle assembly checkpoints can
             fully arrest the network oscillator via overlapping but
             distinct mechanisms. Further, we demonstrate that the DNA
             replication checkpoint effector protein, Rad53, acts to
             arrest a portion of transcript oscillations in addition to
             its role in halting cell-cycle progression. Conclusions Our
             findings indicate that checkpoint mechanisms, likely via
             phosphorylation of network transcription factors, maintain
             coupling of the network oscillator to progression during
             cell-cycle arrest.},
   Doi = {doi:10.1186/s13059-014-0446-7},
   Key = {fds225820}
}

@article{fds225824,
   Author = {P. Bendich and E. Gasparovic and J. Harer and R. Izmailov and L.
             Ness},
   Title = {Multi-Scale Local Shape Analysis and Feature Selection in
             Machine Learning Applications},
   Journal = {AISTATS},
   Year = {2014},
   Abstract = {We introduce a method called multi-scale local shape
             analysis for extracting features that describe the local
             structure of points within a dataset. The method uses both
             geometric and topological features at multiple levels of
             granularity to capture diverse types of local information
             for subsequent machine learning algorithms operating on the
             dataset. Using synthetic and real dataset examples, we
             demonstrate significant performance improvement of
             classification algorithms constructed for these datasets
             with correspondingly augmented features.},
   Key = {fds225824}
}

@article{fds225825,
   Author = {E. Munch and P. Bendich and K. Turner and S. Mukherjee and J. Mattingly and J. Harer},
   Title = {Probabilistic Frechet Means and Statistics on
             Vineyards},
   Journal = {Foundations of Computational Math},
   Year = {2014},
   Abstract = {In order to use persistence diagrams as a true statistical
             tool, it would be very useful to have a good notion of mean
             and variance for a set of diagrams. In [21], Mileyko and his
             collaborators made the first study of the properties of the
             Fr ́echet mean in (Dp,Wp), the space of persistence
             diagrams equipped with the p-th Wasserstein metric. In
             particular, they showed that the Fr ́echet mean of a finite
             set of diagrams always exists, but is not necessarily
             unique. As an unfortunate consequence, one sees that the
             means of a continuously-varying set of diagrams do not
             themselves vary continuously, which presents obvious
             problems when trying to extend the Fr ́echet mean
             definition to the realm of vineyards. We fix this problem by
             altering the original definition of Fr ́echet mean so that
             it now becomes a probability measure on the set of
             persistence diagrams; in a nutshell, the mean of a set of
             diagrams will be a weighted sum of atomic measures, where
             each atom is itself the (Fr ́echet mean) persistence
             diagram of a perturbation of the input diagrams. We show
             that this new definition defines a (H ̈older) continuous
             map, for each k, from (Dp)k → P(Dp), and we present
             several examples to show how it may become a useful
             statistic on vineyards.},
   Key = {fds225825}
}

@article{fds225821,
   Author = {J. Perea and A. Deckard and S. Haase and J. Harer},
   Title = {Sliding Windows and 1-Persistence Scoring; Discovering
             Periodicity in Gene Expression Time Series
             Data},
   Journal = {BMC Bioinformatics},
   Year = {2014},
   Abstract = {Motivation: Identifying periodically expressed genes across
             different processes such as the cell cy- cle, circadian
             rhythms, and metabolic cycles, is a central problem in
             computational biology. Biological time series data may
             contain (multiple) unknown sig- nal shapes, have
             imperfections such as noise, damp- ing, and trending, or
             have limited sampling density. While many methods exist for
             detecting periodicity, their design biases can limit their
             applicability in one or more of these situations. Methods:
             We present in this paper a novel method, SW1PerS, for
             quantifying periodicity in time se- ries data. The
             measurement is performed directly, without presupposing a
             particular shape or pattern, by evaluating the circularity
             of a high-dimensional representation of the signal. SW1PerS
             is compared to other algorithms using synthetic data and
             perfor- mance is quantified under varying noise levels, sam-
             pling densities, and signal shapes. Results on biolog- ical
             data are also analyzed and compared; this data includes
             different periodic processes from various or- ganisms: the
             cell and metabolic cycles in S. cere- visiae, and the
             circadian rhythms in M. musculus. ∗Department of
             Mathematics, Duke University, USA and Institute for
             Mathematics and its Applications, University of Minnesota,
             USA. †Program in Computational Biology and Bioinformatics,
             Duke University, USA. ‡Center for Systems Biology,
             Institute for Genome Sciences & Policy, Duke University,
             USA. §Departments of Mathematics, Computer Science and
             Elec- trical and Computer Engineering, Duke University, USA.
             Results: On the task of periodic/not-periodic clas-
             sification, using synthetic data, SW1PerS performs on par
             with successful methods in periodicity detec- tion.
             Moreover, it outperforms Lomb-Scargle and JTK CYCLE in the
             high-noise/low-sampling range. SW1PerS is shown to be the
             most shape-agnostic of the evaluated methods, and the only
             one to consis- tently classify damped signals as highly
             periodic. On biological data, and for several experiments,
             the lists of top 10% genes ranked with SW1PerS recover up to
             67% of those generated with other popular algo- rithms.
             Moreover, lists of genes which are highly- ranked only by
             SW1PerS contain non-cosine patterns (e.g. ECM33, CDC9,
             SAM1,2 and MSH6 in the Yeast metabolic cycle data of Tu et
             al. (2005)) which are highly periodic. In the Yeast cell
             cycle data SW1PerS identifies genes not preferred by other
             algorithms, not previously reported in Orlando et al.
             (2008); Spell- man et al. (1998), but found in other
             experiments such as the universal growth rate response of
             Slavov and Botstein (2011). These genes are BOP3, CDC10,
             YIL108W, YER034W, MLP1, PAC2 and RTT101.},
   Key = {fds225821}
}

@article{fds225822,
   Author = {K.A. McGoff and X. Guo and A. Deckard and A.R. Leman and C.M. Kelliher and S.B. Haase and J.L. Harer},
   Title = {The Local Edge Machine: Inference of dynamic models of gene
             regulation},
   Journal = {Nature Methods},
   Year = {2014},
   Abstract = {This paper develops the state of the art methodology for
             inferring gene regulatory networks from gene expression data
             for periodic processes. Application is made to finding
             networks for cell cycle and circadian clocks.},
   Key = {fds225822}
}

@article{fds225823,
   Author = {P. Bendich and S. Chin and J. Clarke and J. deSena, J. Harer and E.
             Munch, A. Newman and D. Porter and D. Rouse and N. Strawn and A.
             Watkins},
   Title = {Topological and Statistical Behavior Classifiers for
             Tracking Applications},
   Journal = {IEEE Trans. on Aerospace and Electronic Systems},
   Year = {2014},
   Abstract = {We introduce the first unified theory for target tracking
             using Multiple Hypothesis Tracking, Topological Data
             Analysis, and machine learning. Our string of innovations
             are 1) robust topological features are used to encode
             behavioral information, 2) statistical models are fitted to
             distributions over these topological features, and 3) the
             target type classification methods of Wigren and Bar Shalom
             et al. are employed to exploit the resulting likelihoods for
             topological features inside of the tracking procedure. To
             demonstrate the efficacy of our approach, we test our
             procedure on synthetic vehicular data generated by the
             Simulation of Urban Mobility package.},
   Key = {fds225823}
}

@article{fds225826,
   Author = {P. Bendich and Jacob Harer and John Harer},
   Title = {A Persistent Homology Based Geodesic Distance
             Estimator},
   Journal = {Journal of Machine Learning Research},
   Year = {2014},
   Key = {fds225826}
}

@article{fds221199,
   Author = {Elizabeth Munch and Paul Bendich and Katharine Turner and Sayan
             Mukherjee, Jonathan Mattingly and John Harer},
   Title = {Probabilistic Fréchet Means and Statistics on
             Vineyards},
   Year = {2014},
   Abstract = {In order to use persistence diagrams as a true statistical
             tool, it would be very useful to have a good notion of mean
             and variance for a set of diagrams. Mileyko and his
             collaborators made the first study of the properties of the
             Fr\'{e}chet mean in (Dp,Wp), the space of persistence
             diagrams equipped with the p-th Wasserstein metric. In
             particular, they showed that the Fr\'{e}chet mean of a
             finite set of diagrams always exists, but is not necessarily
             unique. As an unfortunate consequence, one sees that the
             means of a continuously-varying set of diagrams do not
             themselves vary continuously, which presents obvious
             problems when trying to extend the Fr\'{e}chet mean
             definition to the realm of vineyards. We fix this problem by
             altering the original definition of Fr\'{e}chet mean so that
             it now becomes a probability measure on the set of
             persistence diagrams; in a nutshell, the mean of a set of
             diagrams will be a weighted sum of atomic measures, where
             each atom is itself the (Fr\'{e}chet mean) persistence
             diagram of a perturbation of the input diagrams. We show
             that this new definition defines a (H\"older) continuous
             map, for each k, from (Dp)k→P(Dp), and we present several
             examples to show how it may become a useful statistic on
             vineyards.},
   Key = {fds221199}
}


%% Herzog, David P   
@article{fds223339,
   Author = {D.P. Herzog and J.C. Mattingly},
   Title = {Noise-Induced Stabilization of Planar Flows
             I},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/pdf/1404.0957v1.pdf},
   Key = {fds223339}
}

@article{fds223340,
   Author = {D.P. Herzog and J.C. Mattingly},
   Title = {Noise-Induced Stabilization of Planar Flows
             II},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/pdf/1404.0955v1.pdf},
   Key = {fds223340}
}


%% Layton, Anita T   
@article{fds226446,
   Author = {Anita T. Layton},
   Title = {Mathematical physiology},
   Booktitle = {Princeton Companion to Applied Mathematics},
   Editor = {Nicholas J. Higham},
   Year = {2015},
   ISBN = {978-0691150390},
   Key = {fds226446}
}

@article{fds226016,
   Author = {Ioannis Sgouralis and Roger Evans and Bruce S. Gardiner and Julian A
             Smith and Brendan C. Fry and Anita T. Layton},
   Title = {Renal hemodynamics, function and oxygenation during cardiac
             surgery performed on cardiopulmonary bypass: A modeling
             study},
   Journal = {Physiol Report},
   Volume = {3},
   Number = {1},
   Year = {2015},
   Key = {fds226016}
}

@article{fds226378,
   Author = {Ashlee N. Ford Versypt and Elizabeth Makrides and Julia C.
             Arciero and Laura Ellwein and Anita T. Layton},
   Title = {Bifurcation Study of Blood Flow Control in the
             Kidney},
   Journal = {Math Biosci},
   Volume = {263},
   Pages = {169–179},
   Year = {2015},
   Key = {fds226378}
}

@article{fds226448,
   Author = {Brendan Fry and Aurelie Edwards and Anita Layton},
   Title = {Impacts of nitric oxide and superoxide on renal medullary
             oxygen transport and urine concentration},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {308},
   Pages = {F967-F980},
   Year = {2015},
   Key = {fds226448}
}

@article{fds226377,
   Author = {H. Nganguia and Y.-N. Young and A.T. Layton and W.-F. Hu and M.-C.
             Lai},
   Title = {An immersed interface method for axisymmetric
             electrohydrodynamic simulations in Stokes
             flow},
   Journal = {Comm Comput Phys, in press},
   Year = {2015},
   Key = {fds226377}
}

@article{fds226439,
   Author = {Tal Burt and Douglas C. Rouse and Kihak Lee and Huali Wu and Anita T.
             Layton and Thomas C. Hawk and Douglas H. Weitzel and Bennett B. Chin and Michael Cohen-Wolkowiez and Shein-Chung Chow and Robert J.
             Noveck},
   Title = {Intra-arterial microdosing (IAM), a novel drug development
             approach,proof of concept in rodents},
   Journal = {CPT: Pharmacometrics and Systems Pharmacology,
             submitted},
   Year = {2015},
   Key = {fds226439}
}

@article{fds226440,
   Author = {Ioannis Sgouralis and Vasileios Maroulas and Anita T.
             Layton},
   Title = {Transfer function analysis of dynamic blood flow control in
             the rat kidney},
   Journal = {Bull Math Biol, submitted},
   Year = {2015},
   Key = {fds226440}
}

@article{fds226368,
   Author = {Anita T. Layton and Robert Moss},
   Title = {Tracking the distribution of a solute bolus in the rat
             kidney},
   Journal = {Math Biosci, submitted},
   Year = {2015},
   Key = {fds226368}
}

@article{fds226447,
   Author = {Anita T. Layton},
   Title = {Recent advances in renal hemodynamics: Insights from bench
             experiments and computer simulations},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {3008},
   Pages = {F951-F955},
   Year = {2015},
   Key = {fds226447}
}

@article{fds226263,
   Author = {Ioannis Sgouralis and Anita T. Layton},
   Title = {Mathematical modeling of renal hemodynamics in physiology
             and pathophysiology},
   Journal = {Math Biosci, in press},
   Year = {2015},
   Key = {fds226263}
}

@article{fds226394,
   Author = {Anita T. Layton and Volker Vallon and Aurelie
             Edwards},
   Title = {Modeling oxygen consumption in the proximal tubule: Effects
             of NHE and SGLT2 inhibition},
   Journal = {Am J Physiol Renal Physiol, in press},
   Year = {2015},
   Key = {fds226394}
}

@article{fds226210,
   Author = {Ioannis Sgouralis and Anita T. Layton},
   Title = {Conduction of feedback-mediated signal in a computational
             model of coupled nephron},
   Journal = {Med Math Biol, in press},
   Year = {2014},
   Key = {fds226210}
}

@article{fds223269,
   Author = {Aurelie Edwards and Anita T. Layton},
   Title = {Calcium dynamics underlying the myogenic response of the
             renal afferent arteriole},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {306},
   Number = {F34-F48},
   Year = {2014},
   Key = {fds223269}
}

@article{fds223975,
   Author = {Ioannis Sgouralis and Anita T. Layton},
   Title = {Theoretical assessment of renal autoregulatory
             mechanisms},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {306},
   Pages = {F1357-F1371},
   Year = {2014},
   Key = {fds223975}
}

@article{fds224541,
   Author = {Robert Moss and Anita T. Layton},
   Title = {Dominant factors that govern pressure natriuresis in
             diuresis and antidiuresis: a mathematical
             model},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {306},
   Pages = {F952-F969},
   Year = {2014},
   Key = {fds224541}
}

@article{fds225657,
   Author = {Anita T. Layton},
   Title = {Mathematical modeling of urea transport in the
             kidney},
   Booktitle = {Urea Transporters},
   Publisher = {Springer},
   Editor = {Baoxue Yang},
   Year = {2014},
   Key = {fds225657}
}

@article{fds223498,
   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},
   Volume = {68},
   Pages = {1023-1049},
   Year = {2014},
   Key = {fds223498}
}

@article{fds225250,
   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},
   Volume = {638},
   Pages = {191-208},
   Year = {2014},
   Key = {fds225250}
}

@article{fds225251,
   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},
   Volume = {628},
   Pages = {209-238},
   Year = {2014},
   Key = {fds225251}
}

@article{fds226227,
   Author = {Yi Li and Ioannis Sgouralis and Anita T. Layton},
   Title = {Computing viscous flow in an elastic tube},
   Journal = {Numer. Math. Theor. Meth. Appl.,},
   Volume = {7},
   Pages = {555-574},
   Year = {2014},
   Key = {fds226227}
}

@article{fds225220,
   Author = {Thomas L. Pannabecker and Anita T. Layton},
   Title = {Targeted delivery of solutes and oxygen in the renal
             medulla: role of microvessel architecture},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {307},
   Number = {6},
   Pages = {F649-F655},
   Year = {2014},
   Key = {fds225220}
}

@article{fds225218,
   Author = {Julia Arcerio and Laura Ellwein and Ashlee N. Ford Versypt and Elizabeth Makride and Anita T. Layton},
   Title = {Modeling blood flow in the kidney},
   Journal = {IMA volume},
   Year = {2014},
   Key = {fds225218}
}

@article{fds223468,
   Author = {Gregory J. Herschlag and Jian-Guo Liu and Anita T.
             Layton},
   Title = {An exact solution for Stokes flow in an infinite channel
             with permeable walls},
   Journal = {SIAM Appl Math, submitted},
   Year = {2014},
   Key = {fds223468}
}

@article{fds226015,
   Author = {Brendan C. Fry and Anita T. Layton},
   Title = {Oxygen transport in a cross section of the rat inner
             medulla: Impact of heterogeneous distribution of nephrons
             and vessels},
   Journal = {Math Biosci},
   Volume = {258},
   Pages = {68–76},
   Year = {2014},
   Key = {fds226015}
}

@article{fds224561,
   Author = {Aurelie Edwards and Hayo Castrop and Kamel Laghmani and Volker
             Vallon and Anita T. Layton},
   Title = {Regulation of NKCC2 isoform expression and NaCl transport in
             the thick ascending limb and macula densa
             cells},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {307},
   Pages = {F137-F146},
   Year = {2014},
   Key = {fds224561}
}

@book{fds223268,
   Author = {Anita T. Layton and Sarah D. Olson},
   Title = {Biological Fluid Dynamics: Modeling, Computation, and
             Applications},
   Journal = {AMS Contemporary Mathematics},
   Year = {2014},
   Key = {fds223268}
}

@article{fds224542,
   Author = {Brendan C. Fry and Aurelie Edward and Ioannis Sgouralis and Anita
             T. Layton},
   Title = {Impact of renal medullary three-dimensional architecture on
             oxygen transport},
   Journal = {Am J Physiol Renal Physiol},
   Volume = {307},
   Pages = {F263-F272},
   Year = {2014},
   Key = {fds224542}
}

@article{fds226445,
   Author = {Anita T. Layton and Aurelie Edwards},
   Title = {Predicted effects of nitric oxide and superoxide on the
             vasoactivity of the afferent arteriole},
   Journal = {Am J Physiol Renal Physiol, submitted},
   Key = {fds226445}
}


%% Liao, Wenjing   
@article{fds223442,
   Author = {W. Liao and A. Fannjiang},
   Title = {MUSIC for single-snapshot spectral estimation: stability and
             super-resolution},
   Year = {2014},
   Key = {fds223442}
}


%% Lipnowski, Michael   
@article{fds226181,
   Author = {N. Bergeron and M. Lipnowski},
   Title = {Twisted limit formula for torsion and cyclic base
             change},
   Year = {2015},
   url = {http://arxiv.org/abs/1409.6749},
   Key = {fds226181}
}

@article{fds226182,
   Author = {J. Getz and H. Hahn and M. Lipnowski},
   Title = {A relative Weyl law and spectral sparsity of distinguished
             representations},
   Year = {2015},
   Key = {fds226182}
}

@article{fds226179,
   Author = {M. Lipnowski},
   Title = {The Equivariant Cheeger-Müller Theorem on Locally Symmetric
             Spaces},
   Journal = {Journal of the Institute of Mathematics of
             Jussieu},
   Year = {2014},
   url = {http://arxiv.org/abs/1312.2543},
   Key = {fds226179}
}


%% Liu, Jian-Guo   
@article{fds225739,
   Author = {F. Coquel and S. Jin and J.-G. Liu and L. Wang},
   Title = {Well-posedness and singular limit of a semilinear hyperbolic
             relaxation system with a two-scale discontinuous relaxation
             rate},
   Journal = {Arch. Rat. Mech. Anal.},
   Volume = {214},
   Pages = {1051-1084},
   Year = {2014},
   Key = {fds225739}
}

@article{fds225738,
   Author = {P. Degond and J.-G. Liu and C. Ringhofer},
   Title = {Evolution of wealth in a nonconservative economy driven by
             local Nash equilibria},
   Journal = {Phil. Trans. R. Soc. A},
   Volume = {372},
   Pages = {20130394},
   Year = {2014},
   Key = {fds225738}
}

@article{fds225737,
   Author = {X. Chen and A. Jungel and J.-G. Liu},
   Title = {A note on Aubin-Lions-Dubinskii lemmas},
   Journal = {Acta Appl. Math.},
   Volume = {133},
   Pages = {33-43},
   Year = {2014},
   Key = {fds225737}
}

@article{fds225729,
   Author = {P. Degond and J.-G. Liu and C. Ringhofer},
   Title = {Large-scale dynamics of Mean-Field Games driven by local
             Nash equilibria},
   Journal = {J Nonlinear Sci.},
   Volume = {24},
   Pages = {93-115},
   Year = {2014},
   Key = {fds225729}
}

@article{fds225730,
   Author = {P. Degond and J.-G. Liu and C. Ringhofer},
   Title = {Evolution of the distribution of wealth in an economic
             environment driven by local Nash equilibria},
   Journal = {J. Stat. Phys.},
   Volume = {154},
   Pages = {751-780},
   Year = {2014},
   Key = {fds225730}
}

@article{fds225731,
   Author = {T. Goudon and S. Jin and J.-G. Liu and B. Yan},
   Title = {Asymptotic-Preserving schemes for kinetic-fluid modeling of
             disperse two-phase flows with variable fluid
             density},
   Journal = {Internat. J. Numer. Methods Fluids},
   Volume = {75},
   Pages = {81-154},
   Year = {2014},
   Key = {fds225731}
}

@article{fds225732,
   Author = {P. Degond and M. Herty and J.-G. Liu},
   Title = {Flow on sweeping networks},
   Journal = {Multiscale Model. Simul.},
   Volume = {12},
   Pages = {538--565},
   Year = {2014},
   Key = {fds225732}
}

@article{fds225733,
   Author = {D. Chae and P. Degond and J.-G. Liu},
   Title = {Well-posedness for Hall-magnetohydrodynamics},
   Journal = {Ann. I. H. Poincare, AN},
   Volume = {31},
   Pages = {555-565},
   Year = {2014},
   Key = {fds225733}
}

@article{fds225734,
   Author = {X. Chen and X. Liu and J.-G. Liu},
   Title = {Existence and uniqueness of global weak solution to a
             kinetic model for the sedimentation of rod-like
             particles},
   Journal = {Commun. Math. Sci.},
   Volume = {12},
   Pages = {1579-1601},
   Year = {2014},
   Key = {fds225734}
}

@article{fds225735,
   Author = {H. Johnston and C. Wang and J.-G. Liu},
   Title = {A local pressure boundary condition spectral collocation
             scheme for the three-dimensional Navier-Stokes
             equations},
   Journal = {J. Sci. Comput.},
   Volume = {60},
   Pages = {612-626},
   Year = {2014},
   Key = {fds225735}
}

@article{fds225726,
   Author = {J.-G. Liu and R.L. Pego},
   Title = {On generating functions of Hausdorff moment
             sequences},
   Journal = {Trans. Amer. Math. Soc.},
   Year = {2014},
   Key = {fds225726}
}

@article{fds225727,
   Author = {P. Degond and A. Frouvelle and J.-G. Liu},
   Title = {Phase transitions, hysteresis, and hyperbolicity for
             self-organized alignment dynamics},
   Journal = {Arch. Rat. Mech. Anal.},
   Year = {2014},
   Key = {fds225727}
}

@article{fds225728,
   Author = {A. Chertock and J.-G. Liu and T. Pendleton},
   Title = {Elastic collisions among peakon solutions for the
             Camassa-Holm equation},
   Journal = {Appl. Numer. Math.},
   Year = {2014},
   Key = {fds225728}
}

@article{fds220921,
   Author = {S. Bian and J.-G. Liu and C. Zou},
   Title = {Ultra-contractivity for Keller-Segel model with diffusion
             exponent m>1-2/d},
   Journal = {Kinetic and Related Models},
   Volume = {7},
   Pages = {9-28},
   Year = {2014},
   Key = {fds220921}
}

@article{fds220121,
   Author = {Y. Duan and J.-G. Liu},
   Title = {Convergence analysis of the vortex blob method for the
             b-equation},
   Journal = {Discrete Contin. Dyn. Syst. Ser. A},
   Volume = {34},
   Pages = {1995-2011},
   Year = {2014},
   Key = {fds220121}
}

@article{fds225736,
   Author = {P. Degond and A. Frouvelle and J.-G. Liu},
   Title = {A note on phase transitions for the Smoluchowski equation
             with dipolar potential},
   Booktitle = {Proceedings of the Fourteenth International Conference on
             Hyperbolic Problems: Theory, Numerics and
             Application},
   Year = {2014},
   Key = {fds225736}
}


%% Lu, Jianfeng   
@article{fds226269,
   Author = {J. Lu and James Nolen},
   Title = {Reactive trajectories and the transition path
             processes},
   Journal = {Probab. Theory Related Fields},
   Volume = {161},
   Number = {1-2},
   Pages = {195-244},
   Year = {2015},
   url = {http://dx.doi.org/10.1007/s00440-014-0547-y},
   Doi = {10.1007/s00440-014-0547-y},
   Key = {fds226269}
}

@article{fds226301,
   Author = {J. Lu and Jian-Guo Liu and Dionisios Margetis},
   Title = {Emergence of step flow from atomistic scheme of epitaxial
             growth in 1+1 dimensions},
   Journal = {Phys. Rev. E},
   Volume = {91},
   Pages = {032403},
   Year = {2015},
   url = {http://dx.doi.org/10.1103/PhysRevE.91.032403},
   Doi = {10.1103/PhysRevE.91.032403},
   Key = {fds226301}
}

@article{fds226393,
   Author = {J. Lu and Jingchen Liu and Xiang Zhou},
   Title = {Efficient rare event simulation for failure problems in
             random media},
   Journal = {SIAM J. Sci. Comput.},
   Volume = {37},
   Number = {2},
   Pages = {A609-A624},
   Year = {2015},
   url = {http://dx.doi.org/10.1137/140965569},
   Doi = {10.1137/140965569},
   Key = {fds226393}
}

@article{fds226395,
   Author = {J. Lu and Qin Li and Weiran Sun},
   Title = {Diffusion approximations of linear transport equations:
             Asymptotics and numerics},
   Journal = {J. Comput. Phys.},
   Volume = {292},
   Pages = {141-167},
   Year = {2015},
   url = {http://dx.doi.org/10.1016/j.jcp.2015.03.014},
   Doi = {10.1016/j.jcp.2015.03.014},
   Key = {fds226395}
}

@article{fds226396,
   Author = {J. Lu and Christian B. Mendl},
   Title = {Numerical scheme for a spatially inhomogeneous matrix-valued
             quantum Boltzmann equation},
   Journal = {J. Comput. Phys.},
   Volume = {291},
   Pages = {303-316},
   Year = {2015},
   url = {http://dx.doi.org/10.1016/j.jcp.2015.03.020},
   Doi = {10.1016/j.jcp.2015.03.020},
   Key = {fds226396}
}

@article{fds226666,
   Author = {Yin Xian and Andrew Thompson and Qiang Qiu and Loren Nolte and Douglas
             Nowacek, Jianfeng Lu and Robert Calderbank},
   Title = {Classification of whale vocalizations using the Weyl
             transform},
   Booktitle = {IEEE International Conference on Acoustics, Speech and
             Signal Processing (ICASSP) 2015},
   Year = {2015},
   Key = {fds226666}
}

@article{fds226472,
   Author = {J. Lu and Vitaly Moroz and Cyrill B. Muratov},
   Title = {Orbital-free density functional theory of out-of-plane
             charge screening in graphene},
   Journal = {J. Nonlinear Sci.},
   Year = {2015},
   url = {http://arxiv.org/abs/1405.4949},
   Key = {fds226472}
}

@article{fds226438,
   Author = {J. Lu and Ricardo Delgadillo and Xu Yang},
   Title = {Frozen Gaussian approximation for high frequency wave
             propagation in periodic media},
   Year = {2015},
   url = {http://arxiv.org/abs/1504.08051},
   Key = {fds226438}
}

@article{fds226473,
   Author = {J. Lu and Rongjie Lai},
   Title = {Localized density matrix minimization and linear scaling
             algorithms},
   Year = {2015},
   url = {http://arxiv.org/abs/1506.01610},
   Key = {fds226473}
}

@article{fds226346,
   Author = {J. Lu and Xiantao Li},
   Title = {Traction boundary conditions for molecular static
             simulations},
   Year = {2015},
   url = {http://arxiv.org/abs/1503.03555},
   Key = {fds226346}
}

@article{fds226225,
   Author = {J. Lu and Chen Li and Weitao Yang},
   Title = {Gentlest ascent dynamics for calculating first excited state
             and exploring energy landscape of Kohn-Sham density
             functionals},
   Year = {2015},
   Key = {fds226225}
}

@article{fds226021,
   Author = {J. Lu and Benedikt Wirth and Haizhao Yang},
   Title = {Combining 2D synchrosqueezed wave packet transform with
             optimization for crystal image analysis},
   Year = {2015},
   url = {http://arxiv.org/abs/1501.06254},
   Key = {fds226021}
}

@article{fds226224,
   Author = {Haizhao Yang and Jianfeng Lu and William Brown and Ingrid Daubechies and Lexing Ying},
   Title = {Quantitative canvas weave analysis using 2D synchrosqueezed
             transforms},
   Journal = {IEEE Signal Process. Mag.},
   Year = {2014},
   Key = {fds226224}
}

@article{fds226414,
   Author = {J. Lu and Jingrun Chen},
   Title = {Analysis of the divide-and-conquer method for electronic
             structure calculations},
   Journal = {Math. Comp.},
   Year = {2014},
   url = {http://arxiv.org/abs/1411.0066},
   Key = {fds226414}
}

@article{fds225257,
   Author = {J. Lu and Lexing Ying},
   Title = {Compression of the electron repulsion integral tensor in
             tensor hypercontraction format with cubic scaling
             cost},
   Year = {2014},
   url = {http://arxiv.org/abs/1410.7757},
   Key = {fds225257}
}

@article{fds223301,
   Author = {J. Lu and Lin Lin and Sihong Shao},
   Title = {Analysis of the time reversible Born-Oppenheimer molecular
             dynamics},
   Journal = {Entropy},
   Volume = {16},
   Pages = {110-137},
   Editor = {G. Ciccotti and M. Ferrario and Ch. Schuette},
   Year = {2014},
   url = {http://dx.doi.org/10.3390/e16010110},
   Doi = {10.3390/e16010110},
   Key = {fds223301}
}

@article{fds223588,
   Author = {J. Lu and Robert V. Kohn and Ben Schweizer and Michael I.
             Weinstein},
   Title = {A variational perspective on cloaking by anomalous localized
             resonance},
   Journal = {Comm. Math. Phys.},
   Volume = {328},
   Number = {1},
   Pages = {1-27},
   Year = {2014},
   url = {http://dx.doi.org/10.1007/s00220-014-1943-y},
   Doi = {10.1007/s00220-014-1943-y},
   Key = {fds223588}
}

@article{fds225180,
   Author = {Yang Yang and Degao Peng and Jianfeng Lu and Weitao
             Yang},
   Title = {Excitation Energies from Particle-Particle Random Phase
             Approximation: Davidson Algorithm and Benchmark
             Studies},
   Journal = {J. Chem. Phys.},
   Volume = {141},
   Pages = {124104},
   Year = {2014},
   url = {http://dx.doi.org/10.1063/1.4895792},
   Doi = {10.1063/1.4895792},
   Key = {fds225180}
}

@article{fds225182,
   Author = {J. Lu and Felix Otto},
   Title = {Nonexistence of minimizer for Thomas-Fermi-Dirac-von
             Weizsacker model},
   Journal = {Comm. Pure Appl. Math.},
   Volume = {67},
   Pages = {1605--1617},
   Year = {2014},
   url = {http://dx.doi.org/10.1002/cpa.21477},
   Doi = {10.1002/cpa.21477},
   Key = {fds225182}
}

@article{fds226047,
   Author = {J. Lu and Pingbing Ming},
   Title = {Stability of a force-based hybrid method with planar sharp
             interface},
   Journal = {SIAM J. Numer. Anal.},
   Volume = {52},
   Number = {4},
   Pages = {2005--2026},
   Year = {2014},
   url = {http://dx.doi.org/10.1137/130904843},
   Doi = {10.1137/130904843},
   Key = {fds226047}
}

@article{fds225507,
   Author = {J. Lu and Rongjie Lai and Stanley Osher},
   Title = {Density matrix minimization with $\ell_1$
             regularization},
   Journal = {Commun. Math. Sci.},
   Year = {2014},
   url = {http://arxiv.org/abs/1403.1525},
   Key = {fds225507}
}

@article{fds223321,
   Author = {J. Lu and Qin Li and Weiran Sun},
   Title = {A convergent method for linear half-space kinetic
             equation},
   Year = {2014},
   url = {http://arxiv.org/abs/1408.6630},
   Key = {fds223321}
}

@article{fds223237,
   Author = {J. Lu and Bin Hu},
   Title = {Dynamic production capacity management with price
             skimming},
   Year = {2014},
   Key = {fds223237}
}

@article{fds223238,
   Author = {J. Lu and Haizhao Yang and Lexing Ying},
   Title = {Crystal image analysis using 2D synchrosqueezed
             transforms},
   Year = {2014},
   url = {http://arxiv.org/abs/1402.1262},
   Key = {fds223238}
}

@article{fds224003,
   Author = {J. Lu and Weinan E},
   Title = {Mathematical theory of solids: from quantum mechanics to
             continuum models},
   Journal = {Discret. Contin. Dyn. Sys.},
   Volume = {34},
   Pages = {5085-5097},
   Year = {2014},
   url = {http://dx.doi.org/10.3934/dcds.2014.34.5085},
   Doi = {10.3934/dcds.2014.34.5085},
   Key = {fds224003}
}

@article{fds225181,
   Author = {J. Lu and Eric Vanden-Eijnden},
   Title = {Exact dynamical coarse-graining without time-scale
             separation},
   Journal = {J. Chem. Phys.},
   Volume = {141},
   Pages = {044109},
   Year = {2014},
   url = {http://dx.doi.org/10.1063/1.4890367},
   Doi = {10.1063/1.4890367},
   Key = {fds225181}
}


%% Maggioni, Mauro   
@article{fds225842,
   Author = {M. Maggioni and S. Minsker and N. Strawn},
   Title = {Multiscale Dictionary and Manifold Learning: Non-Asymptotic
             Bounds for the Geometric Multi-Resolution
             Analysis},
   Booktitle = {Proc. iTWIST’14: international - Traveling Workshop on
             Interactions between Sparse models and Technology},
   Year = {2014},
   Month = {August},
   Key = {fds225842}
}

@article{fds225834,
   Author = {Nicolas Altemose and Karen H. Miga and Mauro Maggioni and Huntington
             F. Willard},
   Title = {Genomic Characterization of Large Heterochromatic Gaps in
             the Human Genome Assembly},
   Journal = {PLOS Computational Biology},
   Year = {2014},
   Key = {fds225834}
}

@article{fds225832,
   Author = {M. Crosskey and M. Maggioni},
   Title = {ATLAS: A geometric approach to learning high-dimensional
             stochastic systems near manifolds},
   Year = {2014},
   url = {http://arxiv.org/abs/1404.0667},
   Key = {fds225832}
}

@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}
}


%% Mattingly, Jonathan C.   
@article{fds225363,
   Author = {J.C. Mattingly and Christy Vaughn},
   Title = {Redistricting and the Will of the People},
   Year = {2014},
   Month = {October},
   url = {http://www.math.duke.edu/~jonm/PaperArchive/14/gerrymandering.pdf},
   Abstract = {We introduce a non-partisan probability distribution on
             congressional redistricting of North Carolina which
             emphasizes the equal partition of the population and the
             compactness of districts. When random districts are drawn
             and the results of the 2012 election were re-tabulated under
             the drawn districtings, we find that an average of 7.6
             democratic representatives are elected. 95\% of the randomly
             sampled redistrictings produced between 6 and 9 Democrats.
             Both of these facts are in stark contrast with the 4
             Democrats elected in the 2012 elections with the same vote
             counts. This brings into serious question the idea that such
             elections represent the ``will of the people.'' It
             underlines the ability of redistricting to undermine the
             democratic process, while on the face allowing democracy to
             proceed.},
   Key = {fds225363}
}

@article{fds225248,
   Author = {J.C. Mattingly and Stephan Huckemann and Ezra Miller and James Nolen},
   Title = {Sticky central limit theorems at isolated hyperbolic planar
             singularities},
   Year = {2014},
   Month = {October},
   url = {http://arxiv.org/abs/1410.6879},
   Abstract = {We derive the limiting distribution of the barycenter bn of
             an i.i.d. sample of n random points on a planar cone with
             angular spread larger than 2π. There are three mutually
             exclusive possibilities: (i) (fully sticky case) after a
             finite random time the barycenter is almost surely at the
             origin; (ii) (partly sticky case) the limiting distribution
             of n‾√bn comprises a point mass at the origin, an open
             sector of a Gaussian, and the projection of a Gaussian to
             the sector's bounding rays; or (iii) (nonsticky case) the
             barycenter stays away from the origin and the renormalized
             fluctuations have a fully supported limit
             distribution---usually Gaussian but not always. We conclude
             with an alternative, topological definition of stickiness
             that generalizes readily to measures on general metric
             spaces.},
   Key = {fds225248}
}

@article{fds223434,
   Author = {J.C. Mattingly and David P. Herzog},
   Title = {Noise-Induced Stabilization of Planar Flows
             II},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/abs/1404.0955},
   Key = {fds223434}
}

@article{fds223435,
   Author = {J.C. Mattingly and David P. Herzog},
   Title = {Noise-Induced Stabilization of Planar Flows
             I},
   Year = {2014},
   Month = {April},
   url = {http://arxiv.org/abs/1404.0957},
   Key = {fds223435}
}

@article{fds224075,
   Author = {J.C. Mattingly and Yuri Bakhtin and Tobias Hurth},
   Title = {Regularity of invariant densities for 1D-systems with random
             switching},
   Year = {2014},
   url = {http://arxiv.org/abs/1406.5425},
   Abstract = {This is a detailed analysis of invariant measures for
             one-dimensional dynamical systems with random switching. In
             particular, we prove smoothness of the invariant densities
             away from critical points and describe the asymptotics of
             the invariant densities at critical points.},
   Key = {fds224075}
}

@article{fds224076,
   Author = {J.C. Mattingly and Sean D. Lawley and Michael C. Reed},
   Title = {Stochastic switching in infinite dimensions with
             applications to random parabolic PDEs},
   Year = {2014},
   url = {http://arxiv.org/abs/1407.2264},
   Abstract = {We consider parabolic PDEs with randomly switching boundary
             conditions. In order to analyze these random PDEs, we
             consider more general stochastic hybrid systems and prove
             convergence to, and properties of, a stationary
             distribution. Applying these general results to the heat
             equation with randomly switching boundary conditions, we
             find explicit formulae for various statistics of the
             solution and obtain almost sure results about its regularity
             and structure. These results are of particular interest for
             biological applications as well as for their significant
             departure from behavior seen in PDEs forced by disparate
             Gaussian noise. Our general results also have applications
             to other types of stochastic hybrid systems, such as ODEs
             with randomly switching right-hand sides.},
   Key = {fds224076}
}

@article{fds224078,
   Author = {Jonathan C. Mattingly and Etienne Pardoux},
   Title = {Invariant measure selection by noise: An
             Example},
   Journal = {Discrete and Continuous Dynamical Systems. Series
             A},
   Volume = {34},
   Number = {10},
   Pages = {4223--4257},
   Year = {2014},
   url = {http://arxiv.org/abs/1403.3593},
   Abstract = {We consider a deterministic system with two conserved
             quantities and infinity many invariant measures. However the
             systems possess a unique invariant measure when enough
             stochastic forcing and balancing dissipation are added. We
             then show that as the forcing and dissipation are removed a
             unique limit of the deterministic system is selected. The
             exact structure of the limiting measure depends on the
             specifics of the stochastic forcing.},
   Key = {fds224078}
}

@article{fds224074,
   Author = {J.C. Mattingly and Sean D. Lawley and Michael C. Reed},
   Title = {Sensitivity to switching rates in stochastically switched
             ODEs},
   Year = {2014},
   url = {http://arxiv.org/abs/1310.2525},
   Abstract = {We consider a stochastic process driven by a linear ordinary
             differential equation whose right-hand side switches at
             exponential times between a collection of different
             matrices. We construct planar examples that switch between
             two matrices where the individual matrices and the average
             of the two matrices are all Hurwitz (all eigenvalues have
             strictly negative real part), but nonetheless the process
             goes to infinity at large time for certain values of the
             switching rate. We further construct examples in higher
             dimensions where again the two individual matrices and their
             averages are all Hurwitz, but the process has arbitrarily
             many transitions between going to zero and going to infinity
             at large time as the switching rate varies. In order to
             construct these examples, we first prove in general that if
             each of the individual matrices is Hurwitz, then the process
             goes to zero at large time for sufficiently slow switching
             rate and if the average matrix is Hurwitz, then the process
             goes to zero at large time for sufficiently fast switching
             rate. We also give simple conditions that ensure the process
             goes to zero at large time for all switching
             rates.},
   Key = {fds224074}
}


%% McGoff, Kevin A   
@article{fds225790,
   Author = {K. McGoff and S. Mukherjee and A. Nobel and N. Pillai},
   Title = {Consistency of maximum likelihood estimation for some
             dynamical systems},
   Journal = {Ann. Statist.},
   Volume = {43},
   Number = {1},
   Pages = {1-29},
   Year = {2015},
   url = {http://arxiv.org/abs/1306.5603},
   Key = {fds225790}
}

@article{fds225791,
   Author = {M. Boyle and J. Buzzi and K. McGoff},
   Title = {Bowen's entropy-conjugacy conjecture is true up to finite
             index},
   Journal = {Proc. Amer. Math. Soc.},
   Year = {2014},
   url = {http://arxiv.org/abs/1310.2740},
   Key = {fds225791}
}

@article{fds225792,
   Author = {K. Lan and K. McGoff},
   Title = {Coalescence and meeting times on n-block Markov
             chains},
   Journal = {J. Theoret. Probab.},
   Year = {2014},
   url = {http://arxiv.org/abs/1410.0099},
   Key = {fds225792}
}


%% Ng, Lenhard L   
@article{fds225794,
   Author = {C. Cornwell and L. Ng and S. Sivek},
   Title = {Obstructions to Lagrangian concordance},
   Year = {2014},
   url = {http://arxiv.org/abs/1411.1364},
   Key = {fds225794}
}

@article{fds223315,
   Author = {L. Ng},
   Title = {A topological introduction to knot contact
             homology},
   Booktitle = {Contact and Symplectic Topology},
   Editor = {F. Bourgeois and V. Colin and A. Stipsicz},
   Year = {2014},
   ISBN = {978-3-319-02035-8},
   url = {http://dx.doi.org/10.1007/978-3-319-02036-5_10},
   Doi = {10.1007/978-3-319-02036-5_10},
   Key = {fds223315}
}

@article{fds225797,
   Author = {M. Aganagic and T. Ekholm and L. Ng and C. Vafa},
   Title = {Topological strings, D-model, and knot contact
             homology},
   Journal = {Advances in Theoretical and Mathematical
             Physics},
   Volume = {18},
   Number = {4},
   Pages = {827-956},
   Year = {2014},
   url = {http://dx.doi.org/10.4310/ATMP.2014.v18.n4.a3},
   Doi = {10.4310/ATMP.2014.v18.n4.a3},
   Key = {fds225797}
}


%% Nolen, James   
@article{fds226302,
   Author = {J. Nolen and J.-M. Roqujoffre and L. Ryzhik},
   Title = {Power-like delay in time inhomogeneous Fisher-KPP
             equations},
   Journal = {Communications in Partial Differential Equations},
   Volume = {40},
   Number = {3},
   Pages = {475-505},
   Year = {2015},
   url = {http://math.duke.edu/~nolen/preprints/bigdelay-draft.pdf},
   Doi = {10.1080/03605302.2014.972744},
   Key = {fds226302}
}

@article{fds226519,
   Author = {F. Hamel and J. Nolen and J.-M. Roquejoffre and L.
             Ryzhik},
   Title = {The logarithmic delay of KPP fronts in a periodic
             medium},
   Journal = {Journal of the European Mathematical Society},
   Year = {2015},
   url = {http://arxiv.org/abs/1211.6173},
   Key = {fds226519}
}

@article{fds226268,
   Author = {J.-C. Mourrat and J. Nolen},
   Title = {Scaling limit of the corrector in stochastic
             homogenization},
   Year = {2015},
   url = {http://arxiv.org/abs/1502.07440},
   Key = {fds226268}
}

@article{fds223681,
   Author = {J. Lu and J. Nolen},
   Title = {Reactive trajectories and the transition path
             process.},
   Journal = {Probability Theory and Related Fields},
   Year = {2014},
   Month = {January},
   url = {http://arxiv.org/abs/1303.1744},
   Doi = {10.1007/s00440-014-0547-y},
   Key = {fds223681}
}

@article{fds225243,
   Author = {A. Gloria and J. Nolen},
   Title = {A quantitative central limit theorem for the effective
             conductance on the discrete torus},
   Year = {2014},
   url = {http://arxiv.org/abs/1410.5734},
   Key = {fds225243}
}

@article{fds225244,
   Author = {S. Huckemann and E. Miller and J. Mattingly and J.
             Nolen},
   Title = {Sticky central limit theorems at isolated hyperbolic planar
             singularities},
   Year = {2014},
   url = {http://arxiv.org/abs/1410.6879},
   Key = {fds225244}
}

@article{fds218100,
   Author = {J. Nolen},
   Title = {Normal approximation for a random elliptic
             equation},
   Journal = {Probability Theory and Related Fields},
   Volume = {159},
   Number = {3},
   Pages = {661-700},
   Year = {2014},
   url = {http://math.duke.edu/~nolen/preprints/ellipfluctper_rev.pdf},
   Doi = {10.1007/s00440-013-0517-9},
   Key = {fds218100}
}

@article{fds223716,
   Author = {J. Nolen},
   Title = {Normal approximation for the net flux through a random
             conductor},
   Year = {2014},
   url = {http://arxiv.org/abs/1406.2186},
   Key = {fds223716}
}


%% Perea, Jose A.   
@article{fds226515,
   Author = {Jose A. Perea and Anastasia Deckard and Steve B. Haase and John
             Harer},
   Title = {SW1PerS: Sliding Windows and 1-Persistence Scoring;
             Discovering Periodicity in Gene Expression Time Series
             Data},
   Journal = {BMC Bioinformatics},
   Year = {2015},
   Month = {July},
   Key = {fds226515}
}

@article{fds223454,
   Author = {Jose A. Perea and John Harer},
   Title = {Sliding Windows and Persistence: An Application of
             Topological Methods to Signal Analysis},
   Journal = {Foundations of Computational Mathematics},
   Year = {2014},
   Month = {May},
   ISSN = {1615-3375},
   url = {http://dx.doi.org/10.1007/s10208-014-9206-z},
   Doi = {10.1007/s10208-014-9206-z},
   Key = {fds223454}
}

@article{fds223453,
   Author = {Jose A. Perea and Gunnar Carlsson},
   Title = {A Klein-Bottle-Based Dictionary for Texture
             Representation},
   Journal = {International Journal of Computer Vision},
   Volume = {107},
   Number = {1},
   Pages = {75-97},
   Year = {2014},
   Month = {March},
   ISSN = {0920-5691},
   url = {http://dx.doi.org/10.1007/s11263-013-0676-2},
   Doi = {10.1007/s11263-013-0676-2},
   Key = {fds223453}
}


%% Petters, Arlie O   
@book{fds15387,
   Author = {A. O. Petters and M. C. Werner},
   Title = {Gravitational Lensing and Black Holes},
   Publisher = {Springer, in preparation},
   Year = {2016},
   Month = {July},
   Key = {fds15387}
}

@book{fds51036,
   Author = {A. O. Petters and X. Dong},
   Title = {An Introduction to Mathematical Finance: Understanding and
             Building Financial Intuition},
   Series = {SUMAT},
   Publisher = {Springer, in preparation},
   Year = {2015},
   Month = {July},
   Key = {fds51036}
}


%% Saper, Leslie D.   
@article{fds226574,
   Author = {L. Ji and K. Murty and L. Saper and J. Scherk},
   Title = {The Fundamental Group of Reductive Borel-Serre and Satake
             Compactifications},
   Journal = {The Asian Journal of Mathematics},
   Volume = {19},
   Number = {3},
   Pages = {465-486},
   Year = {2015},
   url = {http://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0019/0003/a004/},
   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>&thinsp;&isin;&thinsp;<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>&Gamma;&thinsp;\&thinsp;<i>X</i></nobr>,
             where &Gamma; is an <i>S</i>-arithmetic subgroup of
             <b>G</b>. In the case that &Gamma; is neat, we show that
             this fundamental group is isomorphic to <nobr>&Gamma;&thinsp;/&thinsp;<i>E</i>&Gamma;</nobr>,
             where <i>E</i>&Gamma; is the subgroup generated by the
             elements of &Gamma; 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 = {fds226574}
}


%% Schoen, Chad   
@article{fds225206,
   Author = {C. Schoen},
   Title = {An arithmetic ball quotient surface whose Albanese variety
             is not of CM type},
   Journal = {Electron. Res. Announc. Math. Sci.},
   Volume = {21},
   Pages = {132-136},
   Publisher = {American Institute of Mathematical Sciences},
   Year = {2014},
   Key = {fds225206}
}


%% Stern, Mark A   
@article{fds225761,
   Author = {M.A. Stern},
   Title = {$C^{\infty}$ Stability, Canonical Maps, and Discrete
             Dynamics},
   Year = {2014},
   Key = {fds225761}
}

@article{fds225762,
   Author = {Mark Stern},
   Title = {Nonlinear Harmonic Forms and an Exotic Bochner
             Formula},
   Year = {2014},
   Key = {fds225762}
}


%% 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{fds226041,
   Author = {Stavros Komineas and Stephen P. Shipman and Stephanos
             Venakides},
   Title = {Lossless Polariton Solitons},
   Journal = {arXiv},
   Year = {2014},
   url = {http://arxiv.org/abs/1409.4067},
   Abstract = {Photons and excitons in a semiconductor microcavity interact
             to form exciton-polariton condensates. These are governed by
             a nonlinear quantum-mechanical system involving exciton and
             photon wavefunctions. We calculate all non-traveling
             harmonic soliton solutions for the one-dimensional lossless
             system. There are two frequency bands of bright solitons
             when the inter-exciton interactions produce a repulsive
             nonlinearity and two frequency bands of dark solitons when
             the nonlinearity is attractive. In addition, there are two
             frequency bands for which the exciton wavefunction is
             discontinuous at its symmetry point, where it undergoes a
             phase jump of π. A band of continuous dark solitons merges
             with a band of discontinuous dark solitons, forming a larger
             band over which the soliton far-field amplitude varies from
             0 to ∞; the discontinuity is initiated when the operating
             frequency exceeds the free exciton frequency. The far fields
             of the solitons in the lowest and highest frequency bands
             (one discontinuous and one continuous dark) are linearly
             unstable, whereas the other four bands have linearly stable
             far fields, including the merged band of dark
             solitons.},
   Key = {fds226041}
}


%% Witelski, Thomas P.   
@article{fds222260,
   Author = {T.P. Witelski and L.N. Virgin and C. George},
   Title = {A driven system of impacting pendulums: Experiments and
             simulations},
   Journal = {Journal of Sound and Vibration},
   Volume = {333},
   Number = {6},
   Pages = {1734-1753},
   Year = {2014},
   Month = {March},
   url = {http://dx.doi.org/10.1016/j.jsv.2013.11.004},
   Doi = {10.1016/j.jsv.2013.11.004},
   Key = {fds222260}
}

@article{fds224474,
   Author = {N.S. Hall Taylor and I.J. Hewitt and J.R. Ockendon and T.P.
             Witelski},
   Title = {A new model for disturbance waves},
   Journal = {International Journal of Multiphase Flow},
   Volume = {66},
   Pages = {38-45},
   Year = {2014},
   url = {http://dx.doi.org/10.1016/j.ijmultiphaseflow.2014.06.004},
   Doi = {10.1016/j.ijmultiphaseflow.2014.06.004},
   Key = {fds224474}
}

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320