Mathematics : Publications since January 2008

Aazami, Amir

  1. A. Aazami, A. O. Petters, A Universal Magnification Theorem III. Caustics Beyond Codimension Five, to appear in J. Math. Phys. (2009)
  2. A. Aazami, A. O. Petters, A Universal Magnification Theorem for Higher-Order Caustic Singularities, J. Math. Phys. 50, 032501 (2009)
  3. A. Aazami, A. O. Petters, A Universal Magnification Theorem II. Generic Caustics up to Codimension Five, J. Math. Phys. 50, 082501 (2009)

Aguado, Alex

  1. Alejandro Aguado and Saad I. El-Zanati, On σ-labeling the union of three cycles., Journal of Combinatorial Mathematics and Combinatorial Computing, vol. 64 (2008), pp. 33-48 [MR2389065]

Allard, William K

  1. W.K. Allard, Total variation regularization for image denoising: II. Examples., SIAM Journal on Imaging Sciences (2008)

Aspinwall, Paul S

  1. P.S. Aspinwall, D-Branes on Toric Calabi-Yau Varieties (2008) [arXiv:0806.2612]

Beale, J. Thomas

  1. J. T. Beale, Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM J. Numer. Anal., vol. 47 (2009), pp. 2476-95 [pdf]
  2. J. T. Beale and A. T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys. 228, 3358-67 (2009) [pdf]
  3. J. T. Beale, D. Chopp, R LeVeque, and Z. Li, Correction to the article A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources by Vaughan et al., Commun. Appl. Math. Comput. Sci., vol. 3 (2008), pp. 95-100 [pdf]
  4. J. T. Beale, A proof that a discrete delta function is second-order accurate, J. Comput. Phys., vol. 227 (2008), pp. 2195-97 [pdf]
  5. J. T. Beale and J. Strain, Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces, J. Comput. Phys., vol. 227 (2008), pp. 3896-3920 [pdf]

Bertozzi, Andrea L

  1. J. B. Greer and A. L. Bertozzi, H-1 solutions of a class of fourth order nonlinear equations for image processing, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366

Blake, Lewis D

  1. Lewis Blake and Michael Reed, Laboratory Calculus, 2008-2009 (August, 2008)

Bookman, Jack

  1. Jack Bookman, Susan Ganter and Rick Morgan, Developing Assessment Methodologies for Quantitative Literacy - A Formative Study, American Mathematical Monthly (December, 2008)

Bray, Clark B

  1. C.B. Bray, Multivariable Calculus (2009)  [abs] [author's comments]

Bray, Hubert L.

  1. H.L. Bray, Pengzi Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008) [math.DG/0707.3337], [3337]  [author's comments]
  2. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Math Journal (May, 2008)

Bryant, Robert L   (search)

  1. with G. Manno, V. Matveev, A solution of a problem of Sophus Lie: Normal forms of 2-dimensional metrics admitting two projective vector fields, Mathematische Annalen, vol. 340 no. 2 (Spring, 2008), pp. 437--463 [3592]  [abs]
  2. with M. Dunajski, M. Eastwood, Metrisability of two-dimensional projective structures (2008) [arXiv:0801.0300v1 [math.DG]]  [abs]

Charbonneau, Benoit

  1. J.A. van Meel, B. Charbonneau, A. Fortini, and P. Charbonneau, Hard-sphere crystallization gets rarer with increasing dimension, Phys. Rev. E (2009) [3100]  [abs]
  2. Juli Atherton, Benoit Charbonneau, Xiaojie Zhou, David Wolfson, Lawrence Joseph and Alain C. Vandal, Bayesian optimal design for changepoint problems, Canadian Journal of Statistics (2009) [cjs.10037]  [abs]
  3. Benoit Charbonneau, Yuriy Svyrydov, and P.F. Tupper, Convergence in the Prokhorov Metric of Weak Methods for Stochastic Differential Equations, IMA Journal of Numerical Analysis (2009) [drn067]
  4. Benoit Charbonneau and Jacques Hurtubise, Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface (January, 2009) [0221]
  5. Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1, Communications in Mathematical Physics, vol. 280 no. 2 (2008), pp. 315--349, ISSN 0010-3616 [MR2395473], [s00220-008-0468-7]  [abs]
  6. Benoit Charbonneau and Jacques Hurtubise, The Nahm transform for calorons, in The many facets of geometry: a tribute to Nigel Hitchin, edited by Jean-Pierre Bourguignon, Oscar Garcia-Prada and Simon Salamon (2008), Oxford University Press [2412]  [abs]

Chen, Guangliang

  1. G. Chen and G. Lerman, Spectral Curvature Clustering (SCC), International Journal of Computer Vision, vol. 81 (2009), pp. 317-330 [pdf]
  2. G. Chen and G. Lerman, Foundations of a Multi-way Spectral Clustering Framework for Hybrid Linear Modeling, Foundations of Computational Mathematics (2009) [pdf]
  3. G. Chen, S. Atev and G. Lerman, Kernel Spectral Curvature Clustering (KSCC), 2009 ICCV Workshop on Dynamical Vision (2009)
  4. G. Chen and G. Lerman, Motion Segmentation for Hopkins 155 Database via SCC, 2009 ICCV Workshop on Dynamical Vision (2009)

Chuang, Jer-Chin (Luke)

  1. Jer-Chin Chuang, Minimal Rational and Integral Solutions to the Box Problem, The College Mathematics Journal (2008)  [author's comments]
  2. Jer-Chin Chuang, Analytic subdivision invariants (2008) [arXiv:0807.4235]
  3. Jer-Chin Chuang, Subdivisions and transgressive chains (2008) [arXiv:0806.0390]

Dai, Shu

  1. S. Dai and D. G. Schaeffer, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber, SIAM J. Appl. Math. (2008)  [abs]
  2. S. Dai and D. G. Schaeffer, Bifurcations in a modulation equation for alternans in a cardiac fiber, Math. Modelling and Num. Analysis (2008)  [abs]

Diaz Espinosa, Oliver R

  1. with de la Llave, Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations, in Holomorphic dynamics and renormalization., Fields Inst. Commun., vol. 53 (2008), pp. 331--359, American Mathematical Society
  2. with A. de Bouard, W. Craig, P. Guyenne and C. Sulem, Long wave expansions for water waves over random topography, Nonlinearity, vol. 21 no. 9 (2008), pp. 2143--2178

Gratton, Michael B.

  1. M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity, Phys. Rev. E., vol. 77 (January, 2008), pp. 016301

Hain, Richard M

  1. Richard Hain, Makoto Matsumoto, Relative pro-l completions of mapping class groups, J. Algebra, vol. 321 (2009), pp. 3335-3374 [arXiv:0802.0806]
  2. Richard Hain, Relative weight filtrations on completions of mapping class groups, in Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics, vol. 52 (May, 2008), pp. 309--368, Mathematical Society of Japan [arXiv:0802.0814]
  3. Richard Hain, Lectures on Moduli Spaces of Elliptic Curves, Advanced Lectures in Mathematics (2008), International Press, Boston [arXiv:0812.1803]

Harer, John

  1. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Persistent homology for kernels, images, and cokernels., Proc. Sympos. Discret Alg. (2009) [available here]  [abs]
  2. P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Inferring local homology from sampled stratified spaces., Proc. 48th Ann. Sympos. Found. Comput. Sci. (2008), pp. 536-546 [available here]  [abs]
  3. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and Y. Mileyko., Lipschitz functions have L_p-stable persistence., Foundations of Computional Mathematics (2008) [available here]  [abs]
  4. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality., Found. Comput. Math. (2008) [available here]  [abs]
  5. P. Bendich, J. Harer and H. King, Persistent Intersection Homology (2008)
  6. Mehak Aziz, Siobhan M. Brady, David Orlando, Appu Kuruvilla, Scott Spillias, José R. Dinneny, Terri A. Long, John Harer, Uwe Ohler, Philip N. Benfey, Gene Expression Clustering Analysis: How to Choose the Best Parameters and Clustering Algorithm (2008)  [abs]
  7. A. HB and J. Harer, Persistent Steifel Whitney Classes (2008)  [abs]
  8. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (2008)  [abs]
  9. P. Bendich and J. Harer, Persistence for Intersection Homology - Theoretical Foundations (2008)  [abs]
  10. H. Edelsbrunner, J. Harer and A. Patel, Reeb Surfaces (2008)  [abs]

Heymann, Matthias

  1. M. Heymann, E. Vanden-Eijnden, The Geometric Minimum Action Method - A Least Action Principle on the Space of Curves, CPAM, vol. 61 no. 8 (August, 2008), pp. 1052-1117, Wiley InterScience
  2. E. Vanden-Eijnden, M. Heymann, The Geometric Minimum Action Method for Computing Minimum Energy Paths, Journal of Chemical Physics, vol. 128 no. 061103 (February 14, 2008)

Huber, Mark

  1. M. L. Huber and R. L. Wolpert, Perfect Simulation of Matern Type III Repulsive Point Processes (September, 2008)  [abs]
  2. M. Huber, Perfect simulation with exponential tails, Random Structures and Algorithms, vol. 33 no. 1 (August, 2008), pp. 29--43, Wiley InterScience  [abs]
  3. M. Huber, Spatial Birth-Death-Swap Chains, Bernoulli (May, 2008)  [abs]
  4. M. Huber, Spatial point processes, in Handbook of MCMC, edited by Brooks, Gelman, Jones, Meng (April, 2008)
  5. M. Huber and J. Law, Fast approximation of the permanent for very dense problems, in Proceedings of the nineteenth annual ACM-SIAM Symposium on Discrete Algorithms (2008), pp. 681--689, SIAM, Philadelphia, PA, USA  [abs]
  6. James A. Fill, Mark L. Huber, Linear expected time perfect generation of proper colorings of low degree graphs (2008)  [abs]

Jauregui, Jeff

  1. Hubert L. Bray, Jeffrey L. Jauregui, A geometric theory of zero area singularities in general relativity (September 7, 2009) [0522]

Layton, Anita T

  1. Jing Chen, Aurelie Edwards, and Anita T. Layton, Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla, Am J Physiol Renal Physiol, submitted (2009)
  2. Anita T. Layton, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Comput. Fluids., vol. 38 (2009), pp. 266-272
  3. J. Thomas Beale and Anita T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys., vol. 228 (2009), pp. 3358-3367
  4. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons, Bull Math Biol, vol. 71 no. 3 (2009), pp. 515-555
  5. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math., vol. 59 (2009), pp. 1629-1643
  6. Jing Chen, Anita T. Layton, and Aurelie Edwards, A mathematical model of oxygen transport in the rat outer medulla: I. Model formulation and baseline results, Am J Physiol Renal Physiol, vol. 297 (2009), pp. F517-F536
  7. Jing Chen, Aurelie Edwards, and Anita T. Layton, A mathematical model of oxygen transport in the rat outer medulla: II. Impacts of outer medullary architecture, Am J Physiol Renal Physiol, vol. 297 (2009), pp. F537-F548
  8. Milargros Loreto and Anita T. Layton, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney, Math. Biosci., in press (2009)
  9. Anita T. Layton, Yusuke Toyama, Guo-Qiang Yang, Glenn S. Edwards, Daniel P. Kiehart, and Stephanos Venakides, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure, HFSP, in press (2009)
  10. Anita T. Layton and Aurelie Edwards, Tubuloglomerular feedback signal transduction in a short loop of Henle, Bull. Math. Biol., in press (2009)
  11. Mariano Marcano, Anita T. Layton, and Harold E. Layton, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Bull. Math. Biol., in press (2009)
  12. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Functional implications of the three-dimensional architecture of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., submitted (2009)
  13. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Tubuloglomerular Feedback signal transduction in a compliant thick ascending limb, Am. J. Physiol. Renal Physiol. (2009)
  14. Jin Wang and Anita T. Layton, New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches, Appl. Numer. Math., submitted (2009)
  15. Mark A. Hallen and Anita T. Layton, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., in press (2009)
  16. Anita T. Layton, Harold E. Layton, William H. Dantzler, and Thomas L. Pannabecker, The mammalian urine concentrating mechanism: hypotheses and uncertainties, Physiol., vol. 24 (2009), pp. 250-256
  17. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Hyperfiltration and inner-stripe hypertrophy may explain findings by Gamble and co-workers, Am. J. Physiol. Renal Physiol., submitted (2009)
  18. Anita T. Layton, On the choice of correctors for semi-implicit Picard deferred correction methods, Appl. Numer. Math., vol. 58 no. 6 (2008), pp. 845-858
  19. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
  20. Thomas L. Pannabecker, William H. Dantzler, Harold E. Layton, and Anita T. Layton, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., vol. 295 (2008), pp. F1271 - F1285

Layton, Harold

  1. Anita T. Layton, Leon C. Moore, Harold E. Layton, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons, Bulletin of Mathematical Biology. 71(3):515-555, 2009. (April, 2009)
  2. Jeff M. Sands and Harold E. Layton, The physiology of urinary concentration: an update, Seminars in Nephrology, 29 (2): 178-195, 2009. (May, 2009)
  3. Thomas L. Pannabecker, William H. Dantzler, Harold E. Layton, and Anita T. Layton, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, American Journal of Physiology--Renal Physiology, 295: F1271 - F1285, 2008 (November, 2008)
  4. Mariano Marcano, Anita T. Layton, and Harold E. Layton, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges (2009)

Liu, Jian-Guo

  1. Multi-scale phenomena in complex fluids, Modeling, Analysis and Numerical Simulations, edited by T. Hou, C. Liu and J.-G. Liu (2009), World Scientific, ISBN 978-981-4273-25-1
  2. Hyperbolic Problems: Theory, Numerics and Applications, volume I: Plenary & Invited Talks; volume II: Contributed Talks, Proceedings of Symposia in Applied Mathematics, edited by E. Tadmor, J.-G. Liu, and A.E. Tzavaras, vol. 67 (2009), American Mathematical Society, ISBN 978-0-8218-4728-2
  3. S.-Y. Ha and J.-G. Liu, A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, Commun. Math. Sci., vol. 7 (2009), pp. 297-325
  4. J.-G. Liu and W.-C. Wang, Characterization and regularity for axisymmetric solenoidal vector elds with application to Navier-Stokes equation, SIAM J. Math. Anal., vol. 41 (2009), pp. 1825-1850
  5. J.-G. Liu, J. Liu and R. Pego, Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 743-768
  6. Y.-L. Huang, J.-G. Liu and W.-C. Wang, An FFT based fast Poisson solver on spherical shells, Commun. Comput. Phy. (2009)
  7. J.-G. Liu and R. Pego, Stable discretization of magnetohydrodynamics in bounded domains, Commun. Math. Sci. (2009)
  8. X. Lu, P. Lin and J.-G. Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp., vol. 77 (2008), pp. 1467-1494  [abs]
  9. P. Degond, J.-G. Liu and M.H. Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit, SIAM J. Num. Anal., vol. 46 (2008), pp. 1298-1322  [abs]
  10. J.-G. Liu and C. Wang, A fourth order numerical method for the primitive equations formulated in mean vorticity, Commun. Comput. Phys., vol. 4 (2008), pp. 26-55
  11. P. Lin, J.-G. Liu and X. Lu, Long time numerical solutyion of the Navier-Stokes equations based on a sequential regularization formulation, SIAM J. Sci. Comput., vol. 31 (2008), pp. 398-419
  12. C.-H. Hsia, J.-G. Liu and C. Wang, Structural stability and bifurcation for 2D incompressible ows with symmetry, Meth. Appl. Anal., vol. 15 (2008), pp. 495-512

Maggioni, Mauro

  1. A.D. Szlam, R.R. Coifman, M. Maggioni, A general framework for adaptive regularization based on diffusion processes, Journ. Mach. Learn. Res. no. 9 (August, 2008), pp. 1711-1739
  2. Mauro Maggioni and Hrushikesh Mhaskar, Diffusion polynomial frames on metric measure spaces, Appl. Comp. Harm. Anal., vol. 3 (May, 2008), pp. 329-353
  3. P.W. Jones, M. Maggioni, R. Schul, Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels, Proc. Nat. Acad. Sci., vol. 105 no. 6 (2008)
  4. R R Coifman, I G Kevrekidis, S Lafon, M Maggioni, B. Nadler, Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems, J.M.M.S. (2008)
  5. 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, QEEG-based classification with wavelet packets and microstate features for triage applications in the ER (2005)
  6. S. Ferrari and M. Maggioni and N. A. Borghese, Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks,, IEEE Trans. on Neural Networks, vol. 15 no. 1 (2004), pp. 178--188
  7. GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman, Hyper-spectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system (2004) (Poster, Optical Imaging NIH workshop, to app. in proc..)
  8. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)

Mattingly, Jonathan C.

  1. with Andrew M. Stuart and M.V. Tretyakov, Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations (2009) [0908.4450v2]  [abs]
  2. with David Anderson, A weak trapezoidal method for a class of stochastic differential equations (2009) [0906.3475]  [abs]
  3. with Martin Hairer, Michael Scheutzow, Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations (2009) [0902.4495]  [abs]
  4. with Scott A. McKinley, Natesh S. Pillai, Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing (2009) [0902.4496v1]  [abs]
  5. Hairer, Martin and Mattingly, Jonathan C., Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2008), pp. 999--1032, ISSN 0010-3640 [MR2531551], [arXiv:0712.3884]  [abs]
  6. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777]  [abs]
  7. with Martin Hairer, A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs (2008) [arXiv:0808.1361]
  8. with Martin Hairer, Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations, Annals of Probability no. 6 (2008), pp. 993--1032 [MR2478676], [math.PR/0602479]  [abs]
  9. with Iyer, Gautam and Mattingly, Jonathan, A stochastic-{L}agrangian particle system for the {N}avier-{S}tokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537--2553, ISSN 0951-7715 [MR2448230 (2009h:76060)], [arXiv:0803.1222]
  10. Mattingly, Jonathan C. and Suidan, Toufic M., Transition measures for the stochastic {B}urgers equation, in Integrable systems and random matrices, Contemp. Math., , Integrable systems and random matrices, vol. 458 (2008), pp. 409--418, Amer. Math. Soc., Providence, RI [MR2411921]

McKinley, Scott A

  1. Jonathan C. Mattingly, Scott A. McKinley, Natesh S. Pillai, Geometric ergodicity of a bead-spring system advected by a stochastic Stokes fluid (Winter, 2009) [4496]
  2. Scott A. McKinley, Lingxing Yao and M. Gregory Forest, Transient Anomalous Diffusion of Tracer Particles in Soft Matter, Journal of Rheology (Nov/Dec 2009)
  3. Scott A. McKinley, Lea Popovic and Michael C. Reed, A Spatial Markov Model for Fast Axonal Transport (2009) [0911.2722]
  4. Scott A. McKinley, Anomalous Diffusion of Distinguished Particles in Bead-Spring Systems (2009) [0911.4293]

Mihalcea, Leonardo Constantin

  1. Anders S. Buch and Leonardo C. Mihalcea, Quantum K-theory of Grassmannians, submitted (2008) [arXiv:0810.0981]
  2. Takeshi Ikeda, Leonardo C. Mihalcea and Hiroshi Naruse, Double Schubert polynomials for the classical groups (2008) [arXiv:0810.1348]

Narkawicz, Anthony J.

  1. A.J. Narkawicz, Cohomology jumping loci and relative malcev completion (2008)

Ng, Lenhard L

  1. T. Khandhawit and L. Ng, A family of transversely nonsimple knots (2008) [0806.1887]
  2. L. Ng, Rational Symplectic Field Theory for Legendrian knots (2008) (51 pp.) [0806.4598]
  3. L. Ng, Framed knot contact homology, Duke Mathematical Journal, vol. 141 no. 2 (2008), pp. 365-406 [math.GT/0407071]
  4. L. Ng, A skein approach to Bennequin type inequalities, International Mathematics Research Notices, vol. 2008 (2008) (Art. ID rnn116, 18 pp.) [0709.2141]
  5. L. Ng, P. Ozsvath, and D. Thurston, Transverse knots distinguished by knot Floer homology, Journal of Symplectic Geometry, vol. 6 no. 4 (2008), pp. 461-490 [math.GT/0703446]

Nolen, James

  1. J. Nolen and J. Xin, Bounds on front speeds for inviscid and viscous G-equations (July, 2009)
  2. J. Nolen and G. Papanicolaou, Fine scale uncertainty in parameter estimation for elliptic equations (June, 2009) [pdf]
  3. J. Nolen, An invariance principle for random traveling waves in one dimension (January, 2009) [pdf]
  4. J. Nolen and L. Ryzhik, Traveling waves in a one-dimensional heterogeneous medium, Annales de l'institut Henri Poincare -- Analyse Non Lineaire, vol. 26 no. 3 (2009), pp. 1021-1047 [pdf]
  5. J. Nolen and J. Xin, KPP Fronts in 1D Random Drift, Discrete and Continuous Dynamical Systems B, vol. 11 no. 2 (2009) [pdf]
  6. A. Mellet, J. Nolen, J.-M. Roquejoffre, and L. Ryzhik, Stability of generalized transition fronts, Comm. PDE, vol. 34 no. 6 (2009), pp. 521-552 [pdf]
  7. J. Nolen and J. Xin, Variational principle and reaction-diffusion front speeds in random flows, ICIAM07-Proceedings (December, 2008), pp. 1040701-1040702
  8. J. Nolen, G. Papanicolaou, O. Pironneau, A Framework for Adaptive Multiscale Methods for Elliptic Problems, SIAM Multiscale Modeling and Simulation, vol. 7 (2008), pp. 171-196, SIAM [pdf]
  9. J. Nolen and J. Xin, Computing reactive front speeds in random flows by variational principle, Physica D, vol. 237 (2008), pp. 3172-3177
  10. J. Nolen and J. Xin, Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows, Annales de l'institut Henri Poincare -- Analyse Non Lineaire, vol. 26 no. 3 (2008), pp. 815-839 [pdf]

Petters, Arlie O

  1. A. M. Aazami and A.O. Petters, A Universal Magnification Theorem for Higher-Order Caustic Singularities, J. Math. Phys., vol. 50 (2009), pp. 032501 [3447]
  2. A. O. Petters, Gravitational Lensing and Black Holes (August, 2009), in preparation
  3. X. Dong and A. O. Petters, Mathematical Finance II (June, 2009), in preparation
  4. A. B. Aazami and A.O. Petters, A Universal Magnification Theorem II. Generic Caustics up to Codimension Five (2009)
  5. X. Dong and A.O. Petters, Mathematical Finance I (June, 2009), in preparation
  6. A.O. Petters, B. Rider, and A. M. Teguia, A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the Kac-Rice Formula (2008)
  7. A.O. Petters, B. Rider, and A. M. Teguia, A Mathematical Theory of Stochastic Microlensing I. Random Time Delay Functions and Lensing Maps (2008)

Reed, Michael C

  1. Nijhout HF, Reed M, Ulrich C, Mathematical Models of One-Carbon Metabolism, in Vitamins and Hormones, Folic Acid, edited by G. Litwack, vol. 79 (2008), pp. 42-85, Elsevier
  2. Ulrich CM, Reed MC, Nijhout HF, Modeling folate, one-carbon metabolism, and DNA methylation, Nutrition Reviews, vol. 66, Supp1 (2008), pp. S27-S30
  3. Nijhout HF, Reed MC, A Mathematical Model for Juvenile Hormone Titers, Journal of Insect Physiology, vol. 54 no. 255-264 (2008)
  4. Nijhout HF, Reed M, Ulrich C, A day in the life of cell metabolism, Journal of Biological Theory, vol. 2 (2008), pp. 124-127
  5. Reed M, Thomas R, Pavisic J, Nijhout HF, James SJ, Ulrich CM, A Mathematical Model of Glutathione Metabolism, Theoretical Biology and Medical Modelling, vol. 5 (2008), pp. 1-16
  6. Ulrich CM, Neuhouser M, Liu A, Boynton A, Gregory JF, Shane B, James SJ, Reed MC, Nijhout HF, Mathematical modeling of folate metabolism: Predicted effects of genetic polymorphisms on mechanisms and biomarkers relevant to carcinogenesis, Cancer Epidemiology Biomarkers and Prevention, vol. 17 (2008), pp. 1822-1831
  7. H. Frederik Nijhout, Jesse F. Gregory, Courtney Fitzpatrick, Eugenia Cho, Cornelia M. Ulrich, Michael C. Reed, A Mathematical Model Gives Insights into the Effects of B6 Deficiency on One-Carbon and Glutathione Metabolism, Journal of Nutrition (2008)
  8. Mitchell C, Reed M, Do Real Neurons Have Time Windows?, Journal of Neural Computation (2008)
  9. M.C. Reed, Mathematical Biology, in The Princeton Companion to Mathematics (2008), Princeton University Press, Princeton

Rose, David E.

  1. David E. V. Rose and Ilya M. Spitkovsky, On the stabilization of the Aluthge sequence, International Journal of Information and Systems Sciences, vol. 4 no. 1 (Spring, 2008), pp. 178-189, ISSN 1708-296X
  2. David E. V. Rose and Ilya M. Spitkovsky, On the numerical range behavior under the generalized Aluthge transform, Linear and Multilinear Algebra, vol. 56 no. 1&2 (January, 2008), pp. 163-177, Taylor and Francis

Schaeffer, David G

  1. S. Dai and D.G. Schaeffer, Bifurcation in a modulation equation for alternans in a cardiac fiber, Math. Modeling and Num. Anal. (2008)
  2. D.G. Schaeffer, J. Cain, Shortening of action potential duraction near an insulating boundary, Math Medicine and Biology, vol. 25 no. 21--36 (2008)
  3. D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, On spiking models of synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 553--569 (2008)
  4. D.G. Schaeffer, W. Ying, X. Zhao, Asymptotic approximation of an ionic model for cardiac restitution, Nonlinear Dynamics, vol. 51 (2008), pp. 189--198
  5. D.G. Schaeffer, M. Beck, C. Jones, and M. Wechselberger, Electrical waves in a one-dimensional model of cardiac tissue, SIAM Applied Dynamical Systems (2008)
  6. D.G. Schaeffer and Shu Dai, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber, SIAM Analysis (2008)
  7. D.G. Schaeffer and R. Iverson, Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback, SIAM Applied Math (2008)
  8. D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, Annular patterns in reaction-diffusion systems and their implications for neural-glial interactions (2008)

Schoen, Chad

  1. C. Schoen, Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number, Compositio Mathematica, vol. 145 (2009), pp. 89-111

Smith, David A

  1. David Tall, David A. Smith, and Cynthia Piez, Technology and Calculus, in Research on Technology and the Teaching and Learning of Mathematics: Volume 1, Research Syntheses, edited by M. Kathleen Heid and Glendon W. Blume (Summer, 2008), pp. 207-258, Information Age Publishing, Inc., Charlotte, NC, ISBN 978-1-931576-19-2

Stern, Mark A

  1. M.A. Stern, Spectral asymmetry for manifolds of special holonomy (2009)
  2. M.A. Stern, Geometry of minimal energy Yang-Mills connections (August, 2008) [arXiv:0808.0667]  [abs]
  3. M.A. Stern, Fixed point theorems from a de Rham perspective, Asian Journal of Mathematics (2008)

Teguia, Alberto M.

  1. with J. Gardner, A. Godbole, A. Vuong, N. Watson, and C. Yerger, Domination Cover Pebbling: Graph Families, Journal of Combinatorial Mathematics and Combinatorial Computing (November, 2008) [math/0507271v1]
  2. with Arlie O. Petters, Brian Rider, A Mathematical Theory of Stochastic Microlensing I. Random Time-Delay Functions and Lensing Maps (July, 2008) [0807.0232v1]
  3. with Arlie O. Petters, Brian Rider, A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the Kac-Rice Formula (2008) [4984]

Thomas, Rachel L.

  1. Reed M, Thomas R, Pavisic J, James SJ, Ulrich C, Nijhout HF, A Mathematical Model of Glutathione Metabolism, Theoretical Biology & Medical Modelling (April, 2008) [8]

Trangenstein, John

  1. 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]

Venakides, Stephanos

  1. N. Ptitsyna, S. P. Shipman, and S. Venakides, Fano resonance of waves in periodic slabs, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 73-78 (2008) [arXiv:0804.3148]  [abs]
  2. A. Tovbis and S. Venakides, Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation., International Mathematics Research Notices IMRN (2008) [arXiv:0803.2066]  [abs]

Witelski, Thomas P

  1. T.P. Witelski, The subtle art of blowing bubbles (News and Views: Fluid Dynamics), Nature Physics, vol. 5 (May, 2009), pp. 315-316 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0]
  2. H.-J. Hwang and T.P. Witelski, Short-time Pattern formation in thin film equations, Discrete and Continuous Dynamical Systems A, vol. 23 no. 3 (March, 2009), pp. 867-885, ISSN 1078-0947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp]
  3. M. B. Gratton and T.P. Witelski, Transient and self-similar dynamics in thin film coarsening, Physica D, vol. 238 no. 23-24 (2009), pp. 2380-2394
  4. L. B. Smolka and T. P. Witelski, On the planar extensional motion of an inertially driven liquid sheet, Physics of Fluids, vol. 21 no. 4 (2009), pp. 042101 [042101]
  5. T.P. Witelski and M. Bowen, Singular perturbation theory, Scholarpedia, vol. 4 no. 4 (2009), pp. 3951 [Singular_perturbation_theory]
  6. A.J.Bernoff and T.P. Witelski, Stability and dynamics of self-similarity in evolution equations, Journal of Engineering Mathematics (2009), ISSN 1573-2703 [s10665-009-9309-8]
  7. DiCarlo DA, Juanes R, LaForce T, Witelski TP, Nonmonotonic traveling wave solutions of infiltration into porous media, Water Resources Research, vol. 44 no. 2 (February, 2008), pp. W02406, ISSN 0043-1397
  8. M. Aguareles, S. J. Chapman, T.P. Witelski, Interaction of spiral waves in the Complex Ginzburg-Landau equation, PRL, vol. 101 no. 224101 (2008) (doi:10.1103/PhysRevLett.101.224101.) [e224101]
  9. S. T. Santillian, R. H. Plaut, T. P. Witelski, L. N. Virgin, Large oscillations of beams and columns including self-weight, International Journal of Nonlinear mechanics, vol. 43 (2008), pp. 761-771, ISSN 0020-7462
  10. M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity, Physical Review E, vol. 77 no. 016301 (2008), pp. 1--11 [e016301]
  11. A.J. Catlla, D.G. Schaeffer, T.P. Witelski, E. E. Monson, A. L. Lin, On spiking models for synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 3 (2008), pp. 553-569 [553]

Zhou, Xin

  1. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou,, Asymptotics of Orthogonal Laurent Polynomials of even Degree with Respect to Varying Exponential Weights (2008)
  2. with K. T.-R. McLaughlin, A. H. Vartanian, Asymptotics of Coefficients of Recurrence Relations, Hankel Determinants Ratios, and Root Products Associated with Orthogonal Laurent Polynomials with Respect to Varying Exponential Weights, journal Acta Applicandae Mathematicae, vol. 100 (2008), pp. 39-104
  3. with K. McLaughlin , A.H. Vartanian, Asymptotics of Orthogonal Laurent Polynomials of Odd Degree with Respect to Varying Exponential Weights, Constructive Approximation, vol. 27 (2008), pp. 149-202
  4. B. Rider and X. Zhou, Janossy densities for unitary ensembles at the spectral edge, IMRN (2008)
  5. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights, Math. Phys. Anal. Geom. (2008)