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Mathematics : Publications since January 2007

List all publications in the database.     :chronological  combined  bibtex listing:

Aazami, Amir Babak

  1. A. B. Aazami, A. O. Petters, A Universal Magnification Theorem for Higher-Order Caustic Singularities, to appear in JMP (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]
  2. Alejandro Aguado, Saad I. El-Zanati, et al., On ρ-labeling the union of three cycles, The Australasian Journal of Combinatorics, vol. 37 (2007), pp. 155-170 [MR2284379 (2007k:05190)]

Allard, William K

  1. W.K. Allard, Total variation regularization for image denoising: I. Geometric theory using total variation regularization; II Examples., SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (November, 2007) [~wka]  [abs]
  2. W.K. Allard, Total variation for image denoising: II. Examples, SIAM Journal on Imaging Sciences (2007) [pdf]
  3. W.K. Allard, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences (2007) [pdf]

Aspinwall, Paul S

  1. P.S. Aspinwall, Topological D-Branes and Commutative Algebra (March, 2007) [hep-th/0703279]
  2. P.S. Aspinwall Alexander Maloney and Aaron Simons, Black Hole Entropy, Marginal Stability and Mirror Symmetry, J. High Energy Phys., vol. 0707 (2007), pp. 034 [hep-th/0610033]  [abs]
  3. P.S. Aspinwall, The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes, J. Math. Phys., vol. 48 (2007), pp. 082304 [hep-th/0610209]  [abs]

Bar-On, Rann

  1. Rann Bar-On, Paul Bendich, Benjamin Cooke, Michael Gratton, Timothy Lucas, Michael Nicholas, Nicholas Robbins, Abraham Smith, Joseph Spivey, Graduate Calculus Curriculum Review (March, 2007) [pdf]  [abs]

Beale, J. Thomas

  1. J. T. Beale and A. T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys. (September, 2008) [pdf]
  2. 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]
  3. J. T. Beale, Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM J. Numer. Anal. (July, 2008) [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]

Bendich, Paul L.

  1. with David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Dmitriy Morozov, Inferring Local Homology from Sampled Stratified Spaces, In Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007. (2007)
  2. with Mikhail Belkin, Yuriy Mileyko, Dmitriy Morozov, and Sayan Mukherjee, A Probabilistic Perspective on Persistence Homologies, NIPS 2007 Workshop on Topology Learning. (2007)

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, 2007-2008 (August, 2007)

Bookman, Jack

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

Bray, Hubert L.

  1. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Math Journal (May 9, 2007)
  2. H.L. Bray, S. Hayward, M. Mars, W. Simon, Generalized Inverse Mean Curvature Flows in Spacetime, Communications in Mathematical Physics, vol. 272 no. 1 (May, 2007), pp. 119-138
  3. H.L. Bray, Pengzi Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae (2007)  [author's comments]

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]
  3. Nonembedding and nonextension results in special holonomy, in Proceedings of the August 2006 Madrid conference in honor of Nigel Hitchin's 60th Birthday, edited by Jean-Pierre Bourguignon, Simon Salamon, and Oscar Garcia Prada (Fall, 2007), Oxford University Press

Catlla, Anne

  1. A. Catlla, D. Schaeffer, T. Witelski, E. Monson, A. Lin, On Spiking Models of Synaptic Activity and Impulsive Differential Equations, SIAM Review (2007)

Charbonneau, Benoit

  1. B. Charbonneau and J. Hurtubise, Singular monopoles on a flat circle bundle over a Riemann surface (December, 2008) [0221]  [abs]
  2. 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 (2008) [4466]  [abs]
  3. Juli Atherton, Benoit Charbonneau, Xiaojie Zhou, David Wolfson, Lawrence Joseph and Alain C. Vandal, Bayesian optimal design for changepoint problems, Canadian Journal of Statistics (2008)  [abs]
  4. Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1, Comm. Math. Phys. (2008) [s00220-008-0468-7]  [abs] [author's comments]
  5. 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]

Chuang, Jer-Chin (Luke)

  1. Jer-Chin Chuang, Analytic subdivision invariants (2008) [arXiv:0807.4235]
  2. 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) [PDF] [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) [PDF] [abs]

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, Relative weight filtrations on completions of mapping class groups, in Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics, vol. XX (May, 2008), Mathematical Society of Japan [arXiv:0802.0814]
  2. Richard Hain, Makoto Matsumoto, Relative pro-l completions of mapping class groups (February, 2008) [arXiv:0802.0806]

Harer, John

  1. P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Inferring Local Homology from Sampled Stratified Spaces, Foundations of Computational Science (2007)
  2. D. Cohen-Steiner, H. Edelsbrunner, J . Harer, and Yuriy Mileyko, Lipschitz functions have Lp-stable persistence, Foundations of Computational Mathematics (2007)  [abs]
  3. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Persistent Homology for Kernels and Images, Society of Computational Geometry (2007)  [abs]
  4. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2007)
  5. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (2007)  [abs]
  6. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120  [abs] [author's comments]
  7. H. Edelsbrunner and J. Harer, Persistent homology --- a survey., In Twenty Years After, eds. J. E. Goodman, J. Pach and R. Pollack, AMS. (2007) [pdf]  [abs]
  8. D. Attali, H. Edelsbrunner, J. Harer, Y. Milokov, Alpha-beta witness complexes, Proc. 10th Workshop Algor. Data Struct., 2007, Springer LNCS 4619, 386-397. (2007)  [abs]
  9. David Cohen-Steiner, Herbert Edelsbrunner, J. Harer, Extending Persistence Using Poincare' Duality, Foundations of Computational Mathematics (2007)  [abs]

Heymann, Matthias

  1. M. Heymann, E. Vanden-Eijnden, Pathways of maximum likelihood for rare events in non-equilibrium systems, Physical Review Letters, vol. 100 no. 14 (2007), pp. 140601
  2. M. Heymann, E. Vanden-Eijnden, The Geometric Minimum Action Method - A Least Action Principle on the Space of Curves, CPAM (2007)
  3. E. Vanden-Eijnden, M. Heymann, The Geometric Minimum Action Method for Computing Minimum Energy Paths, Journal of Chemical Physics (2007)

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]
  7. M. Huber, Perfect simulation for image restoration, Stochastic Models, vol. 23 no. 3 (August, 2007), pp. 475--487, Taylor and Francis  [abs]
  8. D. B. Woodard, S. Schmidler, and M. Huber, Conditions for Torpid Mixing of Parallel and Simulated Tempering on Multimodal Distributions, Stochastic Processes and their Applications (2007)
  9. D. B. Woodard, S. C. Schmidler and M. Huber, Conditions for Rapid Mixing of Parallel and Simulated Tempering on Multimodal Distributions, Annals of Applied Probability (2007)

Layton, Anita T

  1. 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
  2. Anita T. Layton and Aurelie Edwards, Tubuloglomerular feedback signal transduction in a short loop of Henle, Bull. Math. Biol., submitted (2008)
  3. J. Thomas Beale and Anita T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys., submitted (2008)
  4. 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, submitted (2008)
  5. 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, submitted (2008)
  6. 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
  7. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
  8. 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, in press (2008)
  9. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math. (2008)
  10. 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., submitted (2008)
  11. 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
  12. Anita T. Layton, Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney, Bull. Math. Biol., vol. 69 no. 3 (2007), pp. 887-929
  13. Anita T. Layton and Michael L. Minion, Implications of the choice of predictors for semi-implicit Picard Integral deferred correction methods, Comm. Appl. Math. Comp. Sci., vol. 2 no. 1 (2007), pp. 1-34
  14. Anita T. Layton, An efficient numerical method for the two-fluid Stokes equations with a moving boundary, Computer Methods Appl. Mech. Eng., vol. 197 (2007), pp. 2147-2155

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 (October 31, 2008)
  2. 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 (May 19, 2008)
  3. Paula Budu-Grajdeanu, Leon C. Moore, Harold E. Layton., Effect of tubular inhomogeneities on filter properties of thick ascending limb of Henle's loop. Mathematical Biosciences 209(2): 564-592., Mathematical Biosciences (October, 2007)
  4. Jeff M. Sands and Harold E. Layton, The Urine Concentrating Mechanism and Urea Transporters, in The Kidney: Physiology and Pathophysiology, 4th Edition, edited by Robert J. Alpern and Steven C. Hebert (2007), pp. 1143–1178, Elsevier, New York

Liu, Jian-Guo

  1. J.-G. Liu, Jie Liu and R. Pego, Estimates on the Stokes pressure by partitioning the energy of harmonic functions, in Kyoto Conference on the Navier-Stokes equations and their Applications, edited by Y. Giga, H. Kozono, H. Okamoto and Y. Shibta (2007), pp. 251--270, Kyoto Univ.  [abs]
  2. J. Moore, Z. Cheng, J. Hao, G. Guo, J.-G. Liu, C. Lin and L. Yu, Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran, J Agric Food Chem (2007) (published on Web 10/30/2007.)
  3. X. Lu, P. Lin and J.-G. Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp. (2007)  [abs]
  4. Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization, edited by W. Bao and J.-G. Liu (2007), World Scientific Publishing Co.
  5. S.S. Antman and J.-G. Liu, Basic themes and pretty problems of nonlinear solid mechanics, Milan J. Math., vol. 75 (2007) (online first.)  [abs]
  6. J.-G. Liu, J. Liu and R. Pego, Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate via a commutator estimate, Comm. Pure Appl. Math., vol. 60 (2007), pp. 1443-1487  [abs]
  7. P. Degond, S. Jin, and J.G. Liu, Mach-number uniform asymptotic- preserving Gauge schemes for compressible flows, Bulletin of the Institute of Mathematics Academia Sinica (New Series) (2007)  [abs]
  8. 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. (2007)  [abs]

Liu, Liping

  1. with Thomas and Dowell, Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces, Journal of Fluids and Structures, vol. 23 no. 3 (2007)

Lucas, Timothy

  1. T.A. Lucas, Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms (Fall, 2007) (Submitted.) [PDF] [abs] [author's comments]
  2. F. Mitha, T.A. Lucas, F. Feng, T.B. Kepler and C. Chan, The multiscale systems immunology project: Software forcell-based immunological simulation, Source Code for Biology and Medicine (Fall, 2007) (Submitted.) [PDF] [abs]

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. (November, 2007)
  2. S. Mahadevan, M. Maggioni, Proto-value Functions: A Laplacian Framework for Learning Representation and Control, Journ. Mach. Learn. Res. (September, 2007)
  3. E. Liberty, S. Zucker, Y. Keller, M. Maggioni, R.R. Coifman, F. Geshwind, Methods for filtering data and filling in missing data using nonlinear filtering, US Patent US2006/0214133 A1 (April, 2007)
  4. P.W. Jones, M. Maggioni, R. Schul, Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels, Proc. Nat. Acad. Sci. (2007)
  5. R R Coifman, I G Kevrekidis, S Lafon, M Maggioni, B. Nadler, Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems (2007)
  6. P.W. Jones, M. Maggioni, R. Schul, Universal local manifold parametrizations via heat kernels and eigenfunctions of the Laplacian (2007) [1975]
  7. Arthur D. Szlam and Mauro Maggioni and Ronald R. Coifman, A General Framework for Adaptive Regularization Based on Diffusion Processes On Graphs no. YALE/DCS/TR1365 (2006)
  8. 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)
  9. Ronald R Coifman and Mauro Maggioni, Multiscale Data Analysis with Diffusion Wavelets no. YALE/DCS/TR-1335 (2005)
  10. 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
  11. 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..)
  12. 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 Martin Hairer, A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs (2008) [arXiv:0808.1361]
  2. with Gautam Iyer, A stochastic-Lagrangian particle system for the Navier-Stokes equations, Nonlinearity (2008) [arXiv:0803.1222]
  3. David Anderson and Jonathan C. Mattingly, Propagation of fluctuations in biochemical systems, II: nonlinear chains, IET Systems Biology, vol. 1 no. 6 (November, 2007), pp. 313-325
  4. Jonathan C. Mattingly, Toufic Suidan, Eric Vanden-Eijnden, Simple Systems with Anomalous Dissipation and Energy Cascade, Communications in Mathematical Physics, vol. 276 no. 1 (2007), pp. 189-220 [math-ph/0607047]
  5. Lamba, H. and Mattingly, J. C. and Stuart, A. M., An adaptive {E}uler-{M}aruyama scheme for {SDE}s: convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (2007), pp. 479--506, ISSN 0272-4979 [MR2337577], [math.PR/0409057]]  [author's comments]
  6. Anderson, David F. and Mattingly, Jonathan C. and Nijhout, H. Frederik and Reed, Michael C., Propagation of fluctuations in biochemical systems. {I}. {L}inear {SSC} networks, Bulletin of Mathematical Biology, vol. 69 no. 6 (2007), pp. 1791--1813, ISSN 0092-8240 [MR2329180]
  7. Martin Hairer and Jonathan C. Mattingly, Slow energy dissipation in systems of anharmonic oscillators (2007) [arXiv:0712.3884]  [abs]
  8. Mattingly, Jonathan C. and Suidan, Toufic M. and Vanden-Eijnden, Eric, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145--1152, ISSN 0022-4715 [MR2348788], [math-ph/0607047]  [abs]
  9. Bakhtin, Yuri and Mattingly, Jonathan C., Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (2007), pp. 307--353, ISSN 0022-1236 [MR2345335], [math.PR/0610754]  [abs]

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]
  3. L. Mihalcea, Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes, submitted (2007) [math.CO/0702566]

Morrison, David R

  1. D. Green, A. Lawrence, J. McGreevy, D. R. Morrison, and E. Silverstein, Dimensional duality (2007) [arXiv:0705.0550 [hep-th]]
  2. M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, D-branes at singularities, compactification, and hypercharge, J. High Energy Phys. 01 (2007) 107 (2007) [hep-th/0610007]

Narkawicz, Anthony J.

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

Ng, Lenhard L

  1. L. Ng, A skein approach to Bennequin type inequalities (2007) [0709.2141]
  2. L. Ng, Framed knot contact homology, Duke Math. J. (2007) (to appear.) [math.GT/0407071]
  3. L. Ng, On arc index and maximal Thurston-Bennequin number (2007) [math.GT/0612356]
  4. L. Ng, P. Ozsvath, and D. Thurston, Transverse knots distinguished by knot Floer homology (2007) [math.GT/0703446]

Petters, Arlie O

  1. A. O. Petters, Gravitational Lensing and Black Holes (August, 2009), in preparation
  2. X. Dong and A. O. Petters, Mathematical Finance II (June, 2009), in preparation
  3. A. M. Aazami and A.O. Petters, A Universal Magnification Theorem for Higher-Order Caustic Singularities (November, 2008)
  4. X. Dong and A.O. Petters, Mathematical Finance I (June, 2009), in preparation
  5. 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)
  6. A.O. Petters, B. Rider, and A. M. Teguia, A Mathematical Theory of Stochastic Microlensing I. Random Time Delay Functions and Lensing Maps (2008)
  7. M. C. Werner and A.O. Petters, Magnification Relations for Kerr Lensing and Testing Cosmic Censorship, Physical Review D, vol. 76 (September, 2007), pp. 064024
  8. A.O. Petters, Algebra, Geometry, and Trigonometry: Student and Teacher Editions (August, 2007), BRC, Benque-Belize
  9. A.O. Petters, Scientific Reasoning: Student and Teacher Editions (July, 2007), BRC, Benque-Belize
  10. S. Iyer and A.O. Petters, Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity, General Relativity and Gravitation, vol. 39 (2007), pp. 1563
  11. A.O. Petters, PSE Mathematics: Student and Teacher Editions (February, 2007), BRC, Benque-Belize

Reed, Michael C

  1. Nijhout HF, Reed MC, A Mathematical Model for Juvenile Hormone Titers, Journal of Insect Physiology (2008)
  2. Nijhout HF, Reed M, Ulrich C, A day in the life of cell metabolism, Journal of Biological Theory: Integrating Development, Evolution and Cognition (2008)
  3. Nijhout HF, Reed M, Ulrich C, Mathematical Models of Folate-mediated One-Carbon Metabolism, in Vitamins & Hormones, Vol. 79, Folic Acid, edited by G. Litwack (2008), Academic Press, New York
  4. Reed M, Thomas R, Pavisic J, Nijhout HF, James SJ, Ulrich CM, A Mathematical Model of Glutathione Metabolism, Theoretical Biology and Medical Modeling (2008)
  5. Damien D, Escartin F, Nijhout HF, Reed MC, Liebl U, Skouloubris S, Myllykallio H, Flavin-dependent thymidylate synthase ThyX activity: Implications for the folate cycle in Bacteria, Journal of Bacteriology, vol. 189 (2007), pp. 8537-8545
  6. M.C. Reed, Mathematical Biology, in The Princeton Companion to Mathematics (2007), Princeton University Press, Princeton
  7. D. Anderson, J. Mattingly, F. Nijhout, M.C. Reed, Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks, vol. 69 (2007), pp. 1791-1813
  8. Mitchell, C., and M.C. Reed, Neural Timing in Highly Convergent Systems, SIAM J. Applied Math. (2007)

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 spproximation 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)
  9. D.G. Schaeffer, X. Zhao, Alternate pacing of border-collision period-doubling bifurcations, Nonlinear Dynamics, vol. 50 (2007), pp. 733--742
  10. D.G. Schaeffer, C. Berger, D. Gauthier, H. Dobrovolny, W. Krassowska, X. Zhao, Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics, Phys. Rev. Lett, vol. 99 (2007), pp. 058101
  11. D.G. Schaeffer, C. Berger, D. Gauthier, X. Zhao, Small-signal amplification of period-doubling bifurcations in smooth iterated mappings, Nonlinear Dynamics, vol. 48 (2007), pp. 381--389
  12. D.G. Schaeffer, M Shearer, and T. Witelski, Boundary-value problems for hyperbolic partial differential equations related to steady granular flow, Math. and Mech. of Solids, vol. 12 (2007), pp. 665--699
  13. D.G. Schaeffer, J. Cain, D. Gauthier,S. Kalb, W. Krassowska, R. Oliver, E. Tolkacheva, W. Ying, An ionically based mapping model with memory for cardiac restitution, Bull Math Bio, vol. 69 (2007), pp. 459--482

Schoen, Chad

  1. C. Schoen, Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number, to appear in Compositio Mathematicae (July, 2008)
  2. C. Schoen, A family of surfaces constructed from genus 2 curves, International Journal of Mathematics, vol. 18 no. 5 (May, 2007), pp. 585-612
  3. C. Schoen and J. Top, Drinfeld modules and torsion in the Chow groups of certain threefolds, Proceedings London Mathematical Society, vol. 95 no. 3 (2007), pp. 545-566

Schwartz, Fernando A.

  1. F.A. Schwartz, Existence of outermost apparent horizons with product of spheres topology (2007) [arXiv:0704.2403]

Smith, Abraham D.

  1. Rann Bar-On, Paul Bendich, Benjamin Cooke, Michael Gratton, Timothy Lucas, Michael Nicholas, Nicholas Robbins, Abraham Smith, Joseph Spivey, Graduate Calculus Curriculum Review, Spring 2007 (March, 2007) [pdf]  [abs]

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

Spivey, Joseph A.

  1. J.A. Spivey, J.Bookman, Approximating Definite Integrals (Summer, 2007) [html]  [author's comments]

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. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X  [abs]
  2. 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. X. G. Peralta, Y. Toyama, M. S. Hutson, R. Montague, S. Venakides, D. P. Kiehart and G. S. Edwards, Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis, Biophysical Journal, vol. 92 (April, 2007), pp. 2583-2596  [abs]
  2. A. Tovbis, S. Venakides, X. Zhou, Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse scattering map and its evolution for radiative initial data, International Mathematics Research Notices, vol. 2007 no. Article ID rnm094, 54 pages. doi:10. (2007)  [abs]
  3. R. Buckingham, A. Tovbis, S. Venakides, X. Zhou, The semiclassical focusing nonlinear Schroedinger equation, in "Recent Advances in Nonlinear Partial Differentila Equations and Applications'', Proceedings of Symposia in Applied Mathematics, edited by L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides, vol. 65, (2007), pp. 47-80, American Mathematical Society, ISBN 978-0-8218-4211-9
  4. W.R. Lefew, S. Venakides, D.J. Gauthier, Accurate description of optical precursors and their relation to weak-field coherent optical transients, Phys. Rev. Lett. (2007)  [abs]
  5. R. Buckingham, S. Venakides, Long-time asymptotics of the nonlinear {S}chr\"odinger equation shock problem, Communications on Pure and Applied Mathematics, vol. 60 no. 9 (2007), pp. 1349--1414, ISSN 0010-3640 [MR2337507]  [abs]

Wang, Jin

  1. Computation of 2D Navier-Stokes equations with moving interfaces by using GMRES, Internat. J. Numer. Methods Fluids, vol. 54 (2007), pp. 333-352
  2. On the accuracy of a numerical method for linear interfacial motion, Appl. Math. Comput., vol. 188 (2007), pp. 1733-1741
  3. with A. T. Layton, Numerical simulation of fiber sedimentation in Navier-Stokes flows (2007)

Witelski, Thomas P

  1. 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
  2. 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]
  3. 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
  4. 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]
  5. 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]
  6. David G. Schaeffer, Michael Shearer and T.P. Witelski, Boundary-value problems for hyperbolic PDE related to steady granular flow, Mathematics and Mechanics of Solids, vol. 12 no. 6 (2007), pp. 665-699 (DOI: 10.1177/1081286506067325.)

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