Math @ Duke

search arxiv.org.Papers Published
 Gao, Y; Marzuola, JL; Mattingly, JC; Newhall, KA, Nonlocal stochasticpartialdifferentialequation limits of spatially correlated noisedriven spin systems derived to sample a canonical distribution.,
Physical Review. E, vol. 102 no. 51
(November, 2020),
pp. 052112 [doi] [abs]
 Lu, Y; Mattingly, JC, Geometric ergodicity of Langevin dynamics with Coulomb interactions,
Nonlinearity, vol. 33 no. 2
(January, 2020),
pp. 675699, IOP Publishing [doi] [abs]
 Carter, D; Hunter, Z; Teague, D; Herschlag, G; Mattingly, J, Optimal Legislative County Clustering in North Carolina,
Statistics and Public Policy, vol. 7 no. 1
(January, 2020),
pp. 1929 [doi] [abs]
 Herschlag, G; Kang, HS; Luo, J; Graves, CV; Bangia, S; Ravier, R; Mattingly, JC, Quantifying Gerrymandering in North Carolina,
Statistics and Public Policy, vol. 7 no. 1
(January, 2020),
pp. 3038, Informa UK Limited [doi] [abs]
 Chikina, M; Frieze, A; Mattingly, JC; Pegden, W, Separating Effect From Significance in Markov Chain Tests,
Statistics and Public Policy, vol. 7 no. 1
(January, 2020),
pp. 101114 [doi] [abs]
 AGAZZI, A; MATTINGLY, JC, SEEMINGLY STABLE CHEMICAL KINETICS CAN BE STABLE, MARGINALLY STABLE, OR UNSTABLE,
Communications in Mathematical Sciences, vol. 18 no. 6
(January, 2020),
pp. 16051642, International Press of Boston [doi] [abs]
 Herzog, DP; Mattingly, JC, Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials,
Communications on Pure and Applied Mathematics, vol. 72 no. 10
(October, 2019),
pp. 22312255, WILEY [doi]
 Chin, A; Herschlag, G; Mattingly, J, The Signature of Gerrymandering in Rucho v. Common Cause,
South Carolina Law Review, vol. 70
(2019)
 Herschlag, G; Ravier, R; Mattingly, JC, Evaluating Partisan Gerrymandering in Wisconsin
(September, 2017) [abs]
 Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Smooth invariant densities for random switching on the torus, vol. 31 no. 4
(August, 2017),
pp. 13311350, IOP Publishing [doi] [abs]
 Johndrow, JE; Mattingly, JC, Coupling and Decoupling to bound an approximating Markov Chain
(July, 2017) [abs]
 GlattHoltz, NE; Herzog, DP; Mattingly, JC, Scaling and Saturation in InfiniteDimensional Control Problems with
Applications to Stochastic Partial Differential Equations,
Annals of Pde
(June, 2017) [abs]
 GlattHoltz, N; Mattingly, JC; Richards, G, On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations,
Journal of Statistical Physics, vol. 166 no. 34
(February, 2017),
pp. 618649, Springer Nature [1512.04126v1], [doi] [abs]
 with Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC, Geometric ergodicity of twodimensional hamiltonian systems with a LennardJoneslike repulsive potential,
Communications in Mathematical Sciences, vol. 15 no. 7
(January, 2017),
pp. 19872025, International Press of Boston [math/1104.3842], [1104.3842v2], [doi] [abs]
 Hairer, M; Mattingly, J, The strong Feller property for singular stochastic PDEs, vol. 54 no. 3
(2016),
pp. 13141340, Institute of Mathematical Statistics [doi] [abs]
 Tempkin, JOB; Koten, BV; Mattingly, JC; Dinner, AR; Weare, J, Trajectory stratification of stochastic dynamics,
Siam Review, vol. 60 no. 4
(2016),
pp. 909938, Society for Industrial and Applied Mathematics [doi] [abs]
 Herzog, DP; Mattingly, JC, Noiseinduced stabilization of planar flows ii,
Electronic Journal of Probability, vol. 20
(October, 2015), Institute of Mathematical Statistics [repository], [doi] [abs]
 with Bakhtin, Y; Hurth, T; Mattingly, JC, Regularity of invariant densities for 1D systems with random switching,
Nonlinearity, vol. 28 no. 11
(September, 2015),
pp. 37553787, IOP Publishing, ISSN 09517715 [arXiv:1406.5425], [repository], [doi] [abs]
 Herzog, DP; Mattingly, JC, A practical criterion for positivity of transition densities,
Nonlinearity, vol. 28 no. 8
(July, 2015),
pp. 28232845, IOP Publishing, ISSN 09517715 [repository], [doi] [abs]
 Lawley, SD; Mattingly, JC; Reed, MC, Stochastic switching in infinite dimensions with applications to random parabolic PDE,
Siam Journal on Mathematical Analysis, vol. 47 no. 4
(January, 2015),
pp. 30353063, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361410 [repository], [doi] [abs]
 Huckemann, S; Mattingly, JC; Miller, E; Nolen, J, Sticky central limit theorems at isolated hyperbolic planar singularities,
Electronic Journal of Probability, vol. 20
(January, 2015), Institute of Mathematical Statistics [repository], [doi] [abs]
 Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fréchet means for time varying persistence diagrams,
Electronic Journal of Statistics, vol. 9 no. 1
(January, 2015),
pp. 11731204, Institute of Mathematical Statistics [1307.6530v3], [doi] [abs]
 Johndrow, JE; Mattingly, JC; Mukherjee, S; Dunson, D, Optimal approximating Markov chains for Bayesian inference
(2015) [1508.03387v2] [abs]
 Luo, S; Mattingly, JC, Scaling limits of a model for selection at two scales
(2015) [1507.00397v1] [abs]
 Herzog, DP; Mattingly, JC, NoiseInduced Stabilization of Planar Flows II
(April, 2014)
 with Lawley, SD; Mattingly, JC; Reed, MC, Sensitivity to switching rates in stochastically switched ODEs,
Communications in Mathematical Sciences, vol. 12 no. 7
(January, 2014),
pp. 13431352, International Press of Boston, ISSN 15396746 [arXiv:1310.2525], [repository], [doi] [abs]
 Mattingly, JC; Pardoux, E, Invariant measure selection by noise. An example,
Discrete and Continuous Dynamical Systems Series A, vol. 34 no. 10
(January, 2014),
pp. 42234257, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 [arXiv:1403.3593], [repository], [doi] [abs]
 with Mattingly, JC; Vaughn, C, Redistricting and the Will of the People,
Arxiv Preprint Arxiv:1410.8796
(2014) [1410.8796v1] [abs]
 Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; Owen, M; Patrangenaru, V; Skwerer, S, Sticky central limit theorems on open books,
The Annals of Applied Probability, vol. 23 no. 6
(2013),
pp. 22382258, Institute of Mathematical Statistics, ISSN 10505164 [arXiv:1202.4267], [12AAP899], [doi] [abs]
 with Mattingly, JC; McKinley, SA; Pillai, NS, Geometric ergodicity of a beadspring pair with stochastic Stokes forcing,
Stochastic Processes and Their Applications, vol. 122 no. 12
(December, 2012),
pp. 39533979, Elsevier BV, ISSN 03044149 [MR2971721], [0902.4496], [repository], [doi] [abs]
 Luo, S; Reed, M; Mattingly, JC; Koelle, K, The impact of host immune status on the withinhost and population dynamics of antigenic immune escape.,
J R Soc Interface, vol. 9 no. 75
(October, 2012),
pp. 26032613 [22572027], [doi] [abs]
 with Mattingly, JC; Pillai, NS; Stuart, AM, Diffusion limits of the random walk Metropolis algorithm in high
dimensions,
Annals of Applied Probability, vol. 22 no. 3
(June, 2011),
pp. 881930, Institute of Mathematical Statistics [1003.4306], [1003.4306v4], [doi] [abs]
 with Athreyaz, A; Kolba, T; Mattingly, JC, Propagating lyapunov functions to prove noiseinduced stabilization,
Electronic Journal of Probability, vol. 17
(2012),
pp. 138, Institute of Mathematical Statistics, ISSN 10836489 [math/111.1755], [repository], [doi] [abs]
 Porporato, A; Kramer, PR; Cassiani, M; Daly, E; Mattingly, J, Local kinetic interpretation of entropy production through reversed diffusion.,
Phys Rev E Stat Nonlin Soft Matter Phys, vol. 84 no. 4 Pt 1
(Fall, 2011),
pp. 041142 [22181122], [doi] [abs]
 Koelle, K; Ratmann, O; Rasmussen, DA; Pasour, V; Mattingly, J, A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses,
Proceedings of the Royal Society B: Biological Sciences, vol. 278 no. 1725
(2011),
pp. 37233730, ISSN 09628452 [repository], [doi] [abs]
 with Hairer, M; Mattingly, JC; Scheutzow, M, Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations,
Probability Theory and Related Fields, vol. 149 no. 1
(2011),
pp. 223259, Springer Nature, ISSN 01788051 [MR2531551], [0902.4495], [repository], [doi] [abs]
 with Anderson, DF; Mattingly, JC, A weak trapezoidal method for a class of stochastic differential equations,
Communications in Mathematical Sciences, vol. 9 no. 1
(2011),
pp. 301318, International Press of Boston, ISSN 15396746 [0906.3475], [repository], [doi] [abs]
 with Hairer, M; Mattingly, JC, A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs,
Electronic Journal of Probability, vol. 16 no. 23
(2011),
pp. 658738, Institute of Mathematical Statistics, ISSN 10836489 [arXiv:0808.1361], [repository], [doi] [abs]
 Hairer, M; Mattingly, JC, Yet Another Look at Harris’ Ergodic Theorem for Markov Chains, vol. 63
(2011),
pp. 109117, Springer Basel [0810.2777v1], [doi] [abs]
 with Heymann, M; Teitsworth, SW; Mattingly, JC, Rare Transition Events in Nonequilibrium Systems with StateDependent
Noise: Application to Stochastic Current Switching in Semiconductor
Superlattices
(August, 2010) [1008.4037], [1008.4037v2] [abs]
 with Mattingly, JC; Stuart, AM; Tretyakov, MV, Convergence of numerical timeaveraging and stationary measures via Poisson equations,
Siam Journal on Numerical Analysis, vol. 48 no. 2
(2010),
pp. 552577, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361429 [MR2669996], [0908.4450], [repository], [doi] [abs]
 Hairer, M; Mattingly, JC, Slow energy dissipation in anharmonic oscillator chains,
Communications on Pure and Applied Mathematics, vol. 62 no. 8
(2009),
pp. 9991032, WILEY, ISSN 00103640 [MR2531551], [arXiv:0712.3884], [doi] [abs]
 with Iyer, G; Mattingly, J, A stochasticLagrangian particle system for the NavierStokes equations,
Nonlinearity, vol. 21 no. 11
(November, 2008),
pp. 25372553, IOP Publishing, ISSN 09517715 [MR2448230 (2009h:76060)], [arXiv:0803.1222], [doi] [abs]
 with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains
(August, 2008) [arXiv:0810.2777] [abs]
 Mattingly, JC; Suidan, TM, Transition measures for the stochastic Burgers equation,
in Integrable systems and random matrices, Contemp. Math.,
Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 458
(2008),
pp. 409418, American Mathematical Society, Providence, RI, ISSN 02714132, ISBN 9780821842409 [MR2411921], [Gateway.cgi], [doi]
 with Martin Hairer,, Spectral gaps in Wasserstein distances and the 2D stochastic NavierStokes equations,
Annals of Probability, vol. 36 no. 6
(2008),
pp. 9931032, Institute of Mathematical Statistics [MR2478676], [math.PR/0602479], [doi] [abs]
 Anderson, DF; Mattingly, JC, Propagation of fluctuations in biochemical systems, II: Nonlinear chains.,
Iet Systems Biology, vol. 1 no. 6
(November, 2007),
pp. 313325, Institution of Engineering and Technology (IET), ISSN 17518849 [repository], [doi] [abs]
 Mattingly, JC; Suidan, T; VandenEijnden, E, Simple systems with anomalous dissipation and energy cascade,
Communications in Mathematical Physics, vol. 276 no. 1
(November, 2007),
pp. 189220, Springer Nature, ISSN 00103616 [MR2342292 (2008m:37135)], [mathph/0607047], [doi] [abs]
 Bakhtin, Y; Mattingly, JC, Malliavin calculus for infinitedimensional systems with additive noise,
Journal of Functional Analysis, vol. 249 no. 2
(August, 2007),
pp. 307353, Elsevier BV, ISSN 00221236 [MR2345335], [math.PR/0610754], [doi] [abs]
 Anderson, DF; Mattingly, JC; Nijhout, HF; Reed, MC, Propagation of fluctuations in biochemical systems, I: linear SSC networks.,
Bulletin of Mathematical Biology, vol. 69 no. 6
(August, 2007),
pp. 17911813, Springer Nature, ISSN 00928240 [MR2329180], [17457656], [doi] [abs]
 Lamba, H; Mattingly, JC; Stuart, AM, An adaptive EulerMaruyama scheme for SDEs: Convergence and stability,
Ima Journal of Numerical Analysis, vol. 27 no. 3
(July, 2007),
pp. 479506, Oxford University Press (OUP), ISSN 02724979 [MR2337577], [math.PR/0409057]], [doi] [abs] [author's comments]
 Mattingly, JC; Suidan, TM; VandenEijnden, E, Anomalous dissipation in a stochastically forced infinitedimensional system of coupled oscillators,
Journal of Statistical Physics, vol. 128 no. 5
(2007),
pp. 11451152, Springer Nature, ISSN 00224715 [MR2348788], [mathph/0607047], [doi] [abs]
 Nijhout, HF; Reed, MC; Anderson, DF; Mattingly, JC; James, SJ; Ulrich, CM, Erratum to H. Frederik Nijhout, et al. Epigenetics Volume 1, Issue 2; pp. 8187.,
Epigenetics, vol. 1 no. 3
(July, 2006),
pp. 115115, Informa UK Limited, ISSN 15592294 [Gateway.cgi], [doi]
 Mattingly, JC; Pardoux, É, Malliavin calculus for the stochastic 2D NavierStokes equation,
Communications on Pure and Applied Mathematics, vol. 59 no. 12
(2006),
pp. 17421790, WILEY, ISSN 00103640 [math.PR/0407215], [doi] [abs]
 Hairer, M; Mattingly, JC, Ergodicity of the 2D NavierStokes equations with degenerate stochastic forcing,
Annals of Mathematics, vol. 164 no. 3
(2006),
pp. 9931032, Annals of Mathematics, Princeton U, ISSN 0003486X [math.PR/0406087], [doi] [abs]
 Bakhtin, Y; Mattingly, JC, Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations,
Communications in Contemporary Mathematics, vol. 7 no. 5
(October, 2005),
pp. 553582, World Scientific Pub Co Pte Lt, ISSN 02191997 (ISSN: 02191997.) [MR2175090], [math.PR/0509166], [doi] [abs]
 Mattingly, JC; Suidan, TM, The small scales of the stochastic NavierStokes equations under rough forcing,
Journal of Statistical Physics, vol. 118 no. 12
(January, 2005),
pp. 343364, Springer Nature, ISSN 00224715 (ISSN: 00224715.) [MR2122959], [mathph/0408060], [Gateway.cgi], [doi] [abs]
 Hairer, M; Mattingly, JC, Ergodic properties of highly degenerate 2D stochastic NavierStokes equations,
Comptes Rendus Mathematique, vol. 339 no. 12
(December, 2004),
pp. 879882, Elsevier BV, ISSN 1631073X (ISSN: 1631073X.) [MR2111726], [doi] [abs]
 Hairer, M; Mattingly, JC; Pardoux, E, Malliavin calculus for highly degenerate 2D stochastic NavierStokes equations,
Comptes Rendus Mathematique, vol. 339 no. 11
(December, 2004),
pp. 793796, Elsevier BV, ISSN 1631073X [MR2110383], [doi] [abs]
 Hairer, M; Mattingly, JC; Pardoux, E, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier–Stokes equation,
Arxiv Preprint Math/0409057
(2004) [0409057v1] [abs]
 Mattingly, JC, Contractivity and ergodicity of the random map x →,
Theory of Probability and Its Applications, vol. 47 no. 2
(June, 2003),
pp. 333343, Society for Industrial & Applied Mathematics (SIAM), ISSN 0040585X [repository], [doi] [abs]
 Mattingly, JC, On recent progress for the stochastic Navier Stokes equations, vol. XV
(Summer, 2003),
pp. Exp. No. XI52, Univ. Nantes, Nantes (Held in ForgeslesEaux, June 26, 2003, The
papers are available electronically at
\url{http://www.math.sciences.univnantes.fr/edpa}.) [MR2050586(2004j:00022)], [pdf] [abs]
 Mattingly, JC, The dissipative scale of the stochastics NavierStokes equation: Regularization and analyticity,
Journal of Statistical Physics, vol. 108 no. 56
(December, 2002),
pp. 11571179, ISSN 00224715 (Dedicated to David Ruelle and Yasha Sinai on
the occasion of their 65th birthdays.) [MR2004e:76035], [pdf], [doi] [abs]
 Mattingly, JC, Exponential convergence for the stochastically forced NavierStokes equations and other partially dissipative dynamics,
Communications in Mathematical Physics, vol. 230 no. 3
(November, 2002),
pp. 421462, ISSN 00103616 [MR2004a:76039], [pdf], [doi] [abs]
 Mattingly, JC; Stuart, AM; Higham, DJ, Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise,
Stochastic Processes and Their Applications, vol. 101 no. 2
(October, 2002),
pp. 185232, Elsevier BV, ISSN 03044149 [MR2003i:60103], [pdf], [doi] [abs]
 Mattingly, J. C., Contractivity and ergodicity of the random map {$x\mapsto\vert x\theta\vert $},
Teor. Veroyatnost. i Primenen., vol. 47 no. 2
(2002),
pp. 388397 [MR2004f:60148], [pdf] [abs] [author's comments]
 Mattingly, JC; Stuart, AM, Geometric ergodicity of some hypoelliptic diffusions for particle motions,
Markov Processes and Related Fields, vol. 8 no. 2
(2002),
pp. 199214, ISSN 10242953 (Inhomogeneous random systems (CergyPontoise,
2001).) [MR2003g:60101], [pdf] [abs]
 Mattingly, JC, Contractivity and ergodicity of the random map $x\mapstox\theta$,
Teoriya Veroyatnostei I Ee Primeneniya, vol. 47 no. 2
(2002),
pp. 388397, Steklov Mathematical Institute [doi]
 Weinan, E; Mattingly, JC; Sinai, Y, Gibbsian dynamics and ergodicity for the stochastically forced NavierStokes equation,
Communications in Mathematical Physics, vol. 224 no. 1
(December, 2001),
pp. 83106, ISSN 00103616 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf], [doi] [abs]
 Weinan, E; Mattingly, JC, Ergodicity for the navierstokes equation with degenerate random forcing: Finitedimensional approximation,
Communications on Pure and Applied Mathematics, vol. 54 no. 11
(November, 2001),
pp. 13861402, WILEY, ISSN 00103640 [MR2002g:76075], [pdf], [doi] [abs]
 Holmes, PJ; Mattingly, JC; Wittenberg, RW, LowDimensional Models of Turbulence,
in From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19
(2001),
pp. 177215, Springer Netherlands, ISBN 9780792369769 [MR2004h:76106], [9789401007320_7], [doi]
 Mattingly, JC, Ergodicity of 2D NavierStokes equations with random forcing and large viscosity,
Communications in Mathematical Physics, vol. 206 no. 2
(January, 1999),
pp. 273288, Springer Nature, ISSN 00103616 [doi] [abs]
 Mattingly, JC; Sinai, YG, An elementary proof of the existence and uniqueness theorem for the NavierStokes equations,
Communications in Contemporary Mathematics, vol. 1 no. 4
(January, 1999),
pp. 497516, World Scientific Pub Co Pte Lt [MR2000j:35226], [repository], [doi] [abs]
 Holmes, PJ; Lumley, JL; Berkooz, G; Mattingly, JC; Wittenberg, RW, Lowdimensional models of coherent structures in turbulence,
Physics Reports, vol. 287 no. 4
(January, 1997),
pp. 337384, Elsevier BV, ISSN 03701573 [MR98j:76065], [pdf], [doi] [abs]
 Mattingly, Jonathan C., Ergodicity of 2D NavierStokes equations with random forcing and large viscosity,
Comm. Math. Phys., vol. 206, no. 2, pp. 273288, 1999
[MR2000k:76040], [pdf]
 Jonathan C. Mattingly, The Stochastic NavierStokes Equation: Energy Estimates and Phase Space Contraction,
PhD Thesis, Princeton University 1998
[ps]
Papers Submitted
 with Stephan Huckemann, Ezra Miller, James Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities
(October, 2014) [arXiv:1410.6879] [abs]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows II
(April, 2014) [arXiv:1404.0955]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows I
(April, 2014) [arXiv:1404.0957]
 with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs
(2014) [arXiv:1407.2264] [abs]
 Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards
(2013) [arXiv:1307.6530] [abs]
Preprints
 Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic NavierStokes equation,
Comptes rendus Mathematique (CRAS), In press
(Summer, 2004) [math.PR/0409057] [abs] [author's comments]


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