Math @ Duke

Mathematics Faculty: Publications since January 2014
List all publications in the database. :chronological alphabetical by author bibtex listing:
 A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes
(July, 2016), Springer, in preparation
 A. O. Petters and X. Dong, An Introduction to Mathematical Finance: Understanding and Building Financial Intuition, SUMAT
(July, 2015), Springer, in preparation
 Ioannis Sgouralis, Roger Evans, Bruce S. Gardiner, Julian A Smith, Brendan C. Fry, and Anita T. Layton, Renal hemodynamics, function and oxygenation during cardiac surgery performed on cardiopulmonary bypass: A modeling study,
Physiol Report, vol. 3 no. 1
(2015)
 Ashlee N. Ford Versypt, Elizabeth Makerides, Julia C. Arciero, Laura Ellwein, and Anita T. Layton, Bifurcation Study of Blood Flow Control in the Kidney,
Math Biosci, in press
(2015)
 J. T. Beale, Uniform error estimates for NavierStokes flow with a moving boundary using the immersed interface method,
SIAM J. Numer. Anal.
(2015) [pdf]
 I Sgouralis, RG Evans, BS Gardiner, JA Smith, BC Fry, AT Layton, Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: A modeling study,
Physiological Reports, vol. 3
(2015),
pp. e12260
 BC Fry, A Edwards, AT Layton, Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration,
American Journal of Physiology  Renal Physiology
(2015)
 J. R. Getz and H. Hahn, A general simple relative trace formula,
Pacific J. Math
(2015)
 J.R. Getz and H. Hahn, A general simple relative trace formula,
Pacific J. Math
(2015)
 J. Lu with James Nolen, Reactive trajectories and the transition path processes,
Probab. Theory Related Fields, vol. 161 no. 12
(2015),
pp. 195244 [arXiv:1303.1744]
 Yin Xian, Andrew Thompson, Qiang Qiu, Loren Nolte, Douglas Nowacek, Jianfeng Lu, Robert Calderbank, Classification of whale vocalizations using the Weyl transform,
in ICASSP 2015
(2015)
 K. McGoff, S. Mukherjee, A. Nobel, N. Pillai, Consistency of maximum likelihood estimation for some dynamical systems,
Ann. Statist., vol. 43 no. 1
(2015),
pp. 129 [arXiv:1306.5603]
 J.C. Mourrat and J. Nolen, Scaling limit of the corrector in stochastic homogenization
(2015) [arXiv:1502.07440]
 J. Lu with Chen Li and Weitao Yang, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of KohnSham density functionals
(2015)
 N. Bergeron, M. Lipnowski, Twisted limit formula for torsion and cyclic base change
(2015) [6749]
 J. Getz, H. Hahn, M. Lipnowski, A relative Weyl law and spectral sparsity of distinguished representations
(2015)
 J. Lu with Benedikt Wirth and Haizhao Yang, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis
(2015) [arXiv:1501.06254]
 Anita T. Layton, Recent advances in renal hemodynamics: Insights from bench experiments and computer simulations,
Am J Physiol Renal Physiol, in press
(2015)
 Ioannis Sgouralis and Anita T. Layton, Mathematical modeling of renal hemodynamics in physiology and pathophysiology,
Math Biosci, in press
(2015)
 Anita T. Layton, Volker Vallon, and Aurelie Edwards, Modeling oxygen consumption in the proximal tubule: Effects of NHE and SGLT2 inhibition,
Am J Physiol Renal Physiol, submitted
(2015)
 D. Arapura, A. Dimca, R. Hain, On the fundamental groups of normal varieties
(December, 2014) [arXiv:1412.1483]
 J.C. Mattingly with Christy Vaughn, Redistricting and the Will of the People
(October, 2014) [pdf] [abs]
 J.C. Mattingly with Stephan Huckemann, Ezra Miller, James Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities
(October, 2014) [arXiv:1410.6879] [abs]
 H.L. Bray and A.S. Goetz, Wave Dark Matter and the TullyFisher Relation
(September, 2014) [arXiv:1409.7347], [7347]
 R. BarOn, 105L106L Coursepack, Fall 2014 and Spring 2015
(August, 2014)
 M. Maggioni, S. Minsker, N. Strawn, Multiscale Dictionary and Manifold Learning: NonAsymptotic Bounds for the Geometric MultiResolution Analysis,
in Proc. iTWIST’14: international  Traveling Workshop on Interactions between Sparse models and Technology
(August, 2014)
 G. Di Cerbo, L.F. Di Cerbo, A sharp cusp count for complex hyperbolic surfaces and related results,
Arch. Math. (Basel)
(July, 2014) [arXiv:1312.5368]
 Aristotelous, A. C. and Durrett, R., Fingering in Stochastic Growth Models.,
Experimental Mathematics
(July, 2014)
 Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer, Fréchet Means for Distributions of Persistence diagrams,
Discrete and Computational Geometry, vol. 52
(July, 2014),
pp. 4470 [arXiv:1206.2790], [doi] [abs]
 Jose A. Perea, Anastasia Deckard, Steve B. Haase and John Harer, SW1PerS: Sliding Windows and 1Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data
(June, 2014) [Preprint] [Supplements]
 Richard Hain, Genus 3 Mapping Class Groups are not Kähler,
Journal of Topology
(June, 2014), ISSN 17538416 [arXiv:1305.2052], [jtopol.jtu020.short]
 N. Addington, On two rationality conjectures for cubic fourfolds,
Math. Res. Lett.
(May 19, 2014) [arXiv:1405.4902]
 R.L. Bryant, Notes on Exterior Differential Systems
(May, 2014) [arXiv:1405.3116] [abs] [author's comments]
 R.L. Bryant, S.s. Chern's study of almostcomplex structures on the sixsphere
(May, 2014) [arXiv:1405.3405] [abs]
 Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis,
Foundations of Computational Mathematics
(May, 2014), ISSN 16153375 (Journal Info: rank 7 of 296 in subject category Mathematics, 2012 Impact Factor 1.918; Journal Citation Reports, Thomson Reuters.) [arXiv:1307.6188], [doi] [Preprint]
 Jose Perea and J. Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis,
Foundations of Computational Mathematics
(May, 2014), ISSN 16153375 (http://arxiv.org/abs/1307.6188.) [abs]
 N. Addington, M. Lehn, On the symplectic eightfold associated to a Pfaffian cubic fourfold,
J. Reine Angew. Math.
(April 22, 2014) [arXiv:1404.5657]
 H.L. Bray and J. L. Jauregui, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass,
Communications in Mathematical Physics
(April, 2014) [arXiv:1310.8638 [math.DG]], [8638]
 J.C. Mattingly with David P. Herzog, NoiseInduced Stabilization of Planar Flows II
(April, 2014) [arXiv:1404.0955]
 J.C. Mattingly with David P. Herzog, NoiseInduced Stabilization of Planar Flows I
(April, 2014) [arXiv:1404.0957]
 D.P. Herzog and J.C. Mattingly, NoiseInduced Stabilization of Planar Flows I
(April, 2014) [pdf]
 D.P. Herzog and J.C. Mattingly, NoiseInduced Stabilization of Planar Flows II
(April, 2014) [pdf]
 Richard Hain, The Hodgede Rham theory of modular groups
(March, 2014) [arXiv:1403.6443]
 Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, Adaptive, SecondOrder in Time, PrimitiveVariable Discontinuous Galerkin Schemes for a CahnHilliard Equation with a Mass Source,
IMA Journal of Numerical Analysis
(March, 2014)
 A. C. Aristotelous, M. A. Haider, Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs using a Hybrid Discrete Model,
Processes
(March, 2014)
 Jose A. Perea and Gunnar Carlsson, A KleinBottleBased Dictionary for Texture Representation,
International Journal of Computer Vision, vol. 107 no. 1
(March, 2014),
pp. 7597, ISSN 09205691 (Journal Info: rank 9 of 115 in subject category Computer Science/Artificial Intelligence, 2012 Impact factor 3.623; Journal Citation Reports, Thomson Reuters.) [doi] [Preprint]
 T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations,
Journal of Sound and Vibration, vol. 333 no. 6
(March, 2014),
pp. 17341753 [doi]
 Andreas C. Aristotelous and Richard Durrett, Chemical Evolutionary Games,
Theoretical Population Biology
(February, 2014)
 Andreas C. Aristotelous and Mansoor A. Haider, Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in ReactionDiffusion Models of Tissues.,
Int. J. Numer. Meth. Biomed. Engng.
(February, 2014)
 H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II
(February, 2014) [arXiv:1402.3287 [math.DG]], [3287] [abs]
 N. Addington, W. Donovan, E. Segal, The PfaffianGrassmannian equivalence revisited,
Alg. Geom.
(January 15, 2014) [arXiv:1401.3661]
 J. Lu and J. Nolen, Reactive trajectories and the transition path process.,
Probability Theory and Related Fields
(January, 2014) [1744], [doi]
 Nicolas Altemose, Karen H. Miga, Mauro Maggioni, Huntington F. Willard, Genomic Characterization of Large Heterochromatic Gaps in the Human Genome Assembly,
PLOS Computational Biology
(2014)
 S. Bristow, A. Leman, L. Simmons Kovacs, A. Deckard, J. Harer, S. B. Haase, Checkpoints Couple Transcription Network Oscillator Dynamics to CellCycle Progression,
Genome Biology, vol. 15:446
(2014) [doi] [abs]
 P. Bendich, E. Gasparovic, J. Harer, R. Izmailov, and L. Ness, MultiScale Local Shape Analysis and Feature Selection in Machine Learning Applications,
AISTATS
(2014) [abs]
 E. Munch, P. Bendich, K. Turner, S. Mukherjee, J. Mattingly and J. Harer, Probabilistic Frechet Means and Statistics on Vineyards,
Foundations of Computational Math
(2014) [abs]
 J. Perea, A. Deckard, S. Haase and J. Harer, Sliding Windows and 1Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data,
BMC Bioinformatics
(2014) [abs]
 K.A. McGoff, X. Guo, A. Deckard, A.R. Leman, C.M. Kelliher, S.B. Haase, and J.L. Harer, The Local Edge Machine: Inference of dynamic models of gene regulation,
Nature Methods
(2014) [abs]
 P. Bendich, S. Chin, J. Clarke, J. deSena, J. Harer, E. Munch, A. Newman, D. Porter, D. Rouse, N. Strawn, and A. Watkins, Topological and Statistical Behavior Classifiers for Tracking Applications,
IEEE Trans. on Aerospace and Electronic Systems
(2014) [abs]
 P. Bendich, Jacob Harer and John Harer, A Persistent Homology Based Geodesic Distance Estimator,
Journal of Machine Learning Research
(2014) [author's comments]
 P.S. Aspinwall and Ben Gaines, Rational Curves and (0,2)Deformations,
Journal of Geometry and Physics
(2014) [arXiv:1404.7802]
 P.S. Aspinwall, Exoflops in Two Dimensions
(2014) [arXiv:1412.0612]
 Jameson Cahill and Dustin G. Mixon, Robust width: A characterization of uniformly stable and robust compressed sensing
(2014) [4409] [abs]
 Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper, Lindsey M. Woodland, Phase retrieval and norm retrieval
(2014) [8266]
 M. Boyle, J. Buzzi, K. McGoff, Bowen's entropyconjugacy conjecture is true up to finite index,
Proc. Amer. Math. Soc.
(2014) [arXiv:1310.2740]
 K. Lan, K. McGoff, Coalescence and meeting times on nblock Markov chains,
J. Theoret. Probab.
(2014) [arxiv:1410.0099]
 C. Cornwell, L. Ng, and S. Sivek, Obstructions to Lagrangian concordance
(2014) [arXiv:1411.1364]
 Haizhao Yang, Jianfeng Lu, William Brown, Ingrid Daubechies, Lexing Ying, Quantitative canvas weave analysis using 2D synchrosqueezed transforms,
IEEE Signal Process. Mag.
(2014)
 M.A. Stern, $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics
(2014) (arXiv:1410.8851.)
 Mark Stern, Nonlinear Harmonic Forms and an Exotic Bochner Formula
(2014) (arXiv:1411.0144.)
 F. Coquel, S. Jin, J.G. Liu and L. Wang, Wellposedness and singular limit of a semilinear hyperbolic relaxation system with a twoscale discontinuous relaxation rate,
Arch. Rat. Mech. Anal., vol. 214
(2014),
pp. 10511084
 P. Degond, J.G. Liu and C. Ringhofer, Evolution of wealth in a nonconservative economy driven by local Nash equilibria,
Phil. Trans. R. Soc. A, vol. 372
(2014),
pp. 20130394
 X. Chen, A. Jungel, J.G. Liu, A note on AubinLionsDubinskii lemmas,
Acta Appl. Math., vol. 133
(2014),
pp. 3343
 P. Degond, J.G. Liu and C. Ringhofer, Largescale dynamics of MeanField Games driven by local Nash equilibria,
J Nonlinear Sci., vol. 24
(2014),
pp. 93115
 P. Degond, J.G. Liu and C. Ringhofer, Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria,
J. Stat. Phys., vol. 154
(2014),
pp. 751780
 T. Goudon, S. Jin, J.G. Liu and B. Yan, AsymptoticPreserving schemes for kineticfluid modeling of disperse twophase flows with variable fluid density,
Internat. J. Numer. Methods Fluids, vol. 75
(2014),
pp. 81154
 P. Degond, M. Herty and J.G. Liu, Flow on sweeping networks,
Multiscale Model. Simul., vol. 12
(2014),
pp. 538565
 D. Chae, P. Degond, J.G. Liu, Wellposedness for Hallmagnetohydrodynamics,
Ann. I. H. Poincare, AN, vol. 31
(2014),
pp. 555565
 X. Chen, X. Liu and J.G. Liu, Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rodlike particles,
Commun. Math. Sci., vol. 12
(2014),
pp. 15791601
 H. Johnston, C. Wang and J.G. Liu, A local pressure boundary condition spectral collocation scheme for the threedimensional NavierStokes equations,
J. Sci. Comput., vol. 60
(2014),
pp. 612626
 J.G. Liu and R.L. Pego, On generating functions of Hausdorff moment sequences,
Trans. Amer. Math. Soc.
(2014)
 P. Degond, A. Frouvelle, J.G. Liu, Phase transitions, hysteresis, and hyperbolicity for selforganized alignment dynamics,
Arch. Rat. Mech. Anal.
(2014)
 A. Chertock, J.G. Liu, and T. Pendleton, Elastic collisions among peakon solutions for the CamassaHolm equation,
Appl. Numer. Math.
(2014)
 Brendan Fry, Aurelie Edwards, and Anita Layton, Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration,
Am J Physiol Renal Physiol, in press
(2014)
 J. Lu with Jingrun Chen, Analysis of the divideandconquer method for electronic structure calculations
(2014) [arXiv:1411.0066]
 Ioannis Sgouralis and Anita T. Layton, Conduction of feedbackmediated signal in a computational model of coupled nephron,
Med Math Biol, in press
(2014)
 Anita T. Layton, Mathematical physiology,
Princeton Companion to Applied Mathematics
(2014)
 J. Damon, E. Gasparovic, Shape and Positional Geometry of MultiObject Configurations
(2014)
 J. Lu with Lexing Ying, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
(2014) [arXiv:1410.7757]
 J.R. Getz, Invariant fourvariable automorphic kernel functions
(2014)
 A. Gloria and J. Nolen, A quantitative central limit theorem for the effective conductance on the discrete torus
(2014) [5734]
 S. Huckemann, E. Miller, J. Mattingly, J. Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities
(2014) [6879]
 H. Nganguia, Y.N. Young, A.T. Layton, W.F. Hu, and M.C. Lai, An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow,
Comm Comput Phys
(2014)
 BC Fry and AT Layton, Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels,
Mathematical Biosciences, vol. 258
(2014),
pp. 6876
 C. Schoen, An arithmetic ball quotient surface whose Albanese variety is not of CM type,
Electron. Res. Announc. Math. Sci., vol. 21
(2014),
pp. 132136, American Institute of Mathematical Sciences
 P. Bendich, E. Gasparovic, J. Harer, R. Izmailov, L. Ness, Multiscale Local Shape Analysis and Feature Selection in Machine Learning Applications
(2014) [arXiv:1410.3169]
 O. Bobrowski and M. Kahle, Topology of Random Geometric Complexes: A Survey
(2014)
 O. Bobrowski, S. Mukherjee and J. S. Taylor, Topological Consistency via Kernel Estimation
(2014)
 J.R. Getz, Automorphic kernel functions in four variables
(2014)
 J. Lu with JianGuo Liu and Dionisios Margetis, Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions,
Phys. Rev. E
(2014) [arXiv:1409.0046]
 J. Lu with Qin Li and Weiran Sun, Diffusion approximations of linear transport equations: Asymptotics and numerics
(2014) [arXiv:1409.0476]
 BC Fry, A Edwards, I Sgouralis, AT Layton, Impact of renal medullary threedimensional architecture on oxygen transport,
American Journal of Physiology  Renal Physiology, vol. 307
(2014),
pp. F263F272
 J. Lu with Christian B. Mendl, Numerical scheme for a spatially inhomogeneous matrixvalued quantum Boltzmann equation
(2014) [arXiv:1408.1782]
 J.C. Mattingly with Yuri Bakhtin, Tobias Hurth, Regularity of invariant densities for 1Dsystems with random switching
(2014) [arXiv:1406.5425] [abs]
 J.C. Mattingly with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs
(2014) [arXiv:1407.2264] [abs]
 N. Addington, R. P. Thomas, Hodge theory and derived categories of cubic fourfolds,
Duke Math. J., vol. 163 no. 10
(2014),
pp. 18851927 [arXiv:1211.3758]
 N. Addington, E. Segal, E. Sharpe, Dbrane probes, branched double covers, and noncommutative resolutions,
Adv. Theor. Math. Phys., vol. 18 no. 6
(2014),
pp. 13691436 [arXiv:1211.2446]
 Aurelie Edwards and Anita T. Layton, Calcium dynamics underlying the myogenic response of the renal afferent arteriole,
Am J Physiol Renal Physiol, vol. 306 no. F34F48
(2014)
 Ioannis Sgouralis and Anita T. Layton, Theoretical assessment of renal autoregulatory mechanisms,
Am J Physiol Renal Physiol, vol. 306
(2014),
pp. F1357F1371
 Robert Moss and Anita T. Layton, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model,
Am J Physiol Renal Physiol, vol. 306
(2014),
pp. F952F969
 Anita T. Layton, Mathematical modeling of urea transport in the kidney,
in Urea Transporters, edited by Baoxue Yang
(2014), Springer
 Hwayeon Ryu and Anita T. Layton, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney,
J Math Biol, vol. 68
(2014),
pp. 10231049
 Anita T. Layton, Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney,
AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 638
(2014),
pp. 191208
 Hwayeon Ryu and Anita T. Layton, Feedbackmediated dynamics in a model of coupled nephrons with compliant short loop of Henle,
AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 628
(2014),
pp. 209238
 Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube,
Numer. Math. Theor. Meth. Appl.,, vol. 7
(2014),
pp. 555574
 G. Bal, J. Bergbauer, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, M. Shaker, C. Wenk, Skeletonbased recognition of shapes in images via longest path matching,
to appear in Research in Shape Analysis
(2014)
 J. Damon, E. Gasparovic, Modeling MultiObject Configurations Via Medial/Skeletal Linking Structures
(2014)
 J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties,
Int. J. Number Theory, vol. 10 no. 1
(2014),
pp. 161176
 Alexandru Dimca, Richard Hain, Stefan Papadima, The abelianization of the Johnson kernel,
Journal of the European Mathematical Society, vol. 16 no. 4
(2014),
pp. 805822 [arXiv:1101.1392], [show_abstract.php]
 J.R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties,
Int. J. Number Theory, vol. 10 no. 1
(2014),
pp. 161176 [abs]
 J. Lu with Lin Lin and Sihong Shao, Analysis of the time reversible BornOppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette,
Entropy, vol. 16
(2014),
pp. 110137 (Special issue on Molecular Dynamics Simulation.) [doi]
 J. Lu with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance,
Comm. Math. Phys., vol. 328 no. 1
(2014),
pp. 127 [doi]
 Yang Yang, Degao Peng, Jianfeng Lu, Weitao Yang, Excitation Energies from ParticleParticle Random Phase Approximation: Davidson Algorithm and Benchmark Studies,
J. Chem. Phys., vol. 141
(2014),
pp. 124104 [doi]
 J. Lu with Felix Otto, Nonexistence of minimizer for ThomasFermiDiracvon Weizsacker model,
Comm. Pure Appl. Math., vol. 67
(2014),
pp. 16051617 [doi]
 J. Lu with Pingbing Ming, Stability of a forcebased hybrid method with planar sharp interface,
SIAM J. Numer. Anal., vol. 52 no. 4
(2014),
pp. 20052026 [doi]
 J. Lu with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization,
Commun. Math. Sci.
(2014) [arXiv:1403.1525]
 J. Lu with Qin Li, Weiran Sun, A convergent method for linear halfspace kinetic equation
(2014) [arXiv:1408.6630]
 J. Lu with Bin Hu, Dynamic production capacity management with price skimming
(2014)
 J. Lu with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezed transforms
(2014) [arXiv:1402.1262]
 S. Bian, J.G. Liu, and C. Zou, Ultracontractivity for KellerSegel model with diffusion exponent m>12/d,
Kinetic and Related Models, vol. 7
(2014),
pp. 928
 Y. Duan and J.G. Liu, Convergence analysis of the vortex blob method for the bequation,
Discrete Contin. Dyn. Syst. Ser. A, vol. 34
(2014),
pp. 19952011
 P. Degond, A. Frouvelle, J.G. Liu, A note on phase transitions for the Smoluchowski equation with dipolar potential,
in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application
(2014)
 Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards
(2014) (http://arxiv.org/abs/1307.6530.) [abs]
 Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example,
Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10
(2014),
pp. 42234257 [arXiv:1403.3593] [abs]
 L.F. Di Cerbo, Generic Properties of Homogeneous Ricci Solitons,
Adv. Geom., vol. 14 no. 2
(2014),
pp. 225237 [arXiv:0711.0465]
 M. Lipnowski, The Equivariant CheegerMüller Theorem on Locally Symmetric Spaces,
Journal of the Institute of Mathematics of Jussieu
(2014) (Available on CJO 2014 doi:10.1017/S1474748014000310.) [2543]
 M. Crosskey, M. Maggioni, ATLAS: A geometric approach to learning highdimensional stochastic systems near manifolds
(2014) [arXiv:1404.0667]
 L. Ng, A topological introduction to knot contact homology,
in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz
(2014), ISBN 9783319020358 [arXiv:1210.4803], [doi]
 M. Aganagic, T. Ekholm, L. Ng, and C. Vafa, Topological strings, Dmodel, and knot contact homology,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(2014),
pp. 827956 [arXiv:1304.5778], [doi]
 J. Nolen, Normal approximation for a random elliptic equation,
Probability Theory and Related Fields, vol. 159 no. 3
(2014),
pp. 661700 [pdf], [doi]
 J. Nolen, J.M. Roqujoffre, L. Ryzhik, Powerlike delay in time inhomogeneous FisherKPP equations,
Communications in Partial Differential Equations
(2014) [pdf]
 O. Bobrowski and S. Mukherjee, The Topology of Probability Distributions on Manifolds,
Probability Theory and Related Fields
(2014) [doi]
 R. J. Adler, O. Bobrowski and S. Weinberger, Crackle: The Homology of Noise,
Discrete and Computational Geometry
(2014) [doi]
 O. Bobrowski and R. J. Adler, Distance Functions, Critical Points and the Topology of Random Čech Complexes,
Homology, Homotopy and Applications
(2014)
 P.S. Aspinwall, A McKayLike Correspondence for (0,2)Deformations,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(2014),
pp. 761797 [1110.2524]
 Rann BarOn, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus,
in Doing the Scholarship of Teaching and Learning in Mathematics, MAA Notes, edited by Jacqueline M. Dewar and Curtis D. Bennett, vol. 83
(2014),
pp. 5966, The Mathematical Association of America, ISBN 9780883851937 [abs]
 Thomas L. Pannabecker and Anita T. Layton, Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture,
Am J Physiol Renal Physiol, vol. 307 no. 6
(2014),
pp. F649F655
 Julia Arcerio, Laura Ellwein, Ashlee N. Ford Versypt, Elizabeth Markride, and Anita T. Layton, Modeling blood flow in the kidney,
IMA volume
(2014)
 N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski, A new model for disturbance waves,
International Journal of Multiphase Flow, vol. 66
(2014),
pp. 3845 [doi]
 J. Nolen, Normal approximation for the net flux through a random conductor
(2014) [2186]
 J. Lu with Weinan E, Mathematical theory of solids: from quantum mechanics to continuum models,
Discret. Contin. Dyn. Sys., vol. 34
(2014),
pp. 50855097 [doi]
 Gregory J. Herschlag, JianGuo Liu, and Anita T. Layton, An exact solution for Stokes flow in an infinite channel with permeable walls,
SIAM Appl Math, submitted
(2014)
 J. Lu with Eric VandenEijnden, Exact dynamical coarsegraining without timescale separation,
J. Chem. Phys., vol. 141
(2014),
pp. 044109 [arXiv:1404.4225], [doi]
 W. Liao and A. Fannjiang, MUSIC for singlesnapshot spectral estimation: stability and superresolution
(2014) [PDF]
 J.C. Mattingly with Sean D. Lawley and Michael C. Reed, Sensitivity to switching rates in stochastically switched ODEs
(2014) [arXiv:1310.2525] [abs]
 J. Lu with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media,
SIAM J. Sci. Comput.
(2014) [arXiv:1404.4729]
 J. Lu with Vitaly Moroz, Cyrill B. Muratov, Orbitalfree density functional theory of outofplane charge screening in graphene
(2014) [arXiv:1405.4949]
 Brendan C. Fry and Anita T. Layton, Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels,
Math Biosci, vol. 258
(2014),
pp. 68–76
 Aurelie Edwards, Hayo Castrop, Kamel Laghmani, Volker Vallon, and Anita T. Layton, Regulation of NKCC2 isoform expression and NaCl transport in the thick ascending limb and macula densa cells,
Am J Physiol Renal Physiol, vol. 307
(2014),
pp. F137F146
 Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications,
AMS Contemporary Mathematics
(2014)
 Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton, Impact of renal medullary threedimensional architecture on oxygen transport,
Am J Physiol Renal Physiol, vol. 307
(2014),
pp. F263F272
 Stavros Komineas, Stephen P. Shipman, Stephanos Venakides, Lossless Polariton Solitons,
arXiv
(2014) [arXiv:1409.4067] [abs]
 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, QEEGbased classification with wavelet packets and microstate features for triage applications in the ER
(2005)
 J. B. Greer and A. L. Bertozzi, H1 solutions of a class of fourth order nonlinear equations for image processing,
Discrete And Continuous Dynamical Systems, vol. 10 no. 12
(2004),
pp. 349  366
 S. Ferrari and M. Maggioni and N. A. Borghese, MultiScale Approximation with Hierarchical Radial Basis Functions Networks,,
IEEE Trans. on Neural Networks, vol. 15 no. 1
(2004),
pp. 178188
 GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman, Hyperspectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system
(2004) (Poster, Optical Imaging NIH workshop, to app. in proc..)
 Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR1289
(2004)
 Moes, N. and Dolbow, J. and Belytschko, T., A finite element method for crack growth without remeshing,
Int. J. Numer. Methods Eng. (UK), vol. 46 no. 1
(10),
pp. 131  50 [(SICI)10970207(19990910)46:1<131::AIDNME726>3.3.CO;2A] [abs]
 Trangenstein, J.A. and Bell, J.B., Mathematical structure of compositional reservoir simulation,
SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5
,
pp. 817  45 [abs]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

