Jonathan C. Mattingly - Publications

Affiliations: 
Duke University, Durham, NC 
Area:
Mathematics, Biochemistry

48 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Lu Y, Mattingly JC. Geometric ergodicity of Langevin dynamics with Coulomb interactions Nonlinearity. 33: 675-699. DOI: 10.1088/1361-6544/Ab514A  0.368
2019 Herzog DP, Mattingly JC. Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials Communications On Pure and Applied Mathematics. 72: 2231-2255. DOI: 10.1002/Cpa.21862  0.301
2018 Hairer M, Mattingly J. The strong Feller property for singular stochastic PDEs Annales De L'Institut Henri Poincaré, ProbabilitéS Et Statistiques. 54: 1314-1340. DOI: 10.1214/17-Aihp840  0.36
2018 Bakhtin Y, Hurth T, Lawley SD, Mattingly JC. Smooth invariant densities for random switching on the torus Nonlinearity. 31: 1331-1350. DOI: 10.1088/1361-6544/Aaa04F  0.649
2017 Luo S, Mattingly JC. SCALING LIMITS OF A MODEL FOR SELECTION AT TWO SCALES. Nonlinearity. 30: 1682-1707. PMID 28867875 DOI: 10.1088/1361-6544/Aa5499  0.364
2017 Cooke B, Herzog DP, Mattingly JC, McKinley SA, Schmidler SC. Geometric ergodicity of two-dimensional Hamiltonian systems with a Lennard–Jones-like repulsive potential Communications in Mathematical Sciences. 15: 1987-2025. DOI: 10.4310/Cms.2017.V15.N7.A10  0.325
2016 Glatt-Holtz N, Mattingly JC, Richards G. On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations Journal of Statistical Physics. 166: 618-649. DOI: 10.1007/S10955-016-1605-X  0.458
2015 Herzog DP, Mattingly JC. Noise-induced stabilization of planar flows ii Electronic Journal of Probability. 20. DOI: 10.1214/Ejp.V20-4048  0.38
2015 Huckemann S, Mattingly J, Miller E, Nolen J. Sticky central limit theorems at isolated hyperbolic planar singularities Electronic Journal of Probability. 20. DOI: 10.1214/Ejp.V20-3887  0.344
2015 Munch E, Turner K, Bendich P, Mukherjee S, Mattingly J, Harer J. Probabilistic Fréchet means for time varying persistence diagrams Electronic Journal of Statistics. 9: 1173-1204. DOI: 10.1214/15-Ejs1030  0.318
2015 Lawley SD, Mattingly JC, Reed MC. Stochastic switching in infinite dimensions with applications to random parabolic PDE Siam Journal On Mathematical Analysis. 47: 3035-3063. DOI: 10.1137/140976716  0.69
2015 Herzog DP, Mattingly JC. A practical criterion for positivity of transition densities Nonlinearity. 28: 2823-2845. DOI: 10.1088/0951-7715/28/8/2823  0.378
2015 Bakhtin Y, Hurth T, Mattingly JC. Regularity of invariant densities for 1D systems with random switching Nonlinearity. 28: 3755-3787. DOI: 10.1088/0951-7715/28/11/3755  0.394
2014 Lawley SD, Mattingly JC, Reed MC. Sensitivity to switching rates in stochastically switched ODEs Communications in Mathematical Sciences. 12: 1343-1352. DOI: 10.4310/Cms.2014.V12.N7.A9  0.651
2014 Mattingly JC, Pardoux E. Invariant measure selection by noise. An example Discrete and Continuous Dynamical Systems. 34: 4223-4257. DOI: 10.3934/Dcds.2014.34.4223  0.391
2013 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 Annals of Applied Probability. 23: 2238-2258. DOI: 10.1214/12-Aap899  0.313
2012 Athreya A, Kolba T, Mattingly J. Propagating Lyapunov functions to prove noise-induced stabilization Electronic Journal of Probability. 17. DOI: 10.1214/Ejp.V17-2410  0.732
2012 Mattingly JC, Pillai NS, Stuart AM. Diffusion limits of the random walk metropolis algorithm in high dimensions Annals of Applied Probability. 22: 881-890. DOI: 10.1214/10-Aap754  0.317
2012 Mattingly JC, McKinley SA, Pillai NS. Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing Stochastic Processes and Their Applications. 122: 3953-3979. DOI: 10.1016/J.Spa.2012.07.003  0.344
2011 Anderson DF, Mattingly JC. A weak trapezoidal method for a class of stochastic differential equations Communications in Mathematical Sciences. 9: 301-318. DOI: 10.4310/Cms.2011.V9.N1.A15  0.538
2011 Hairer M, Mattingly J. A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs Electronic Journal of Probability. 16: 658-738. DOI: 10.1214/Ejp.V16-875  0.467
2010 Mattingly JC, Stuart AM, Tretyakov MV. Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations Siam Journal On Numerical Analysis. 48: 552-577. DOI: 10.1137/090770527  0.399
2009 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. 149: 223-259. DOI: 10.1007/S00440-009-0250-6  0.471
2009 Hairer M, Mattingly JC. Slow energy dissipation in anharmonic oscillator chains Communications On Pure and Applied Mathematics. 62: 999-1032. DOI: 10.1002/Cpa.20280  0.347
2008 Hairer M, Mattingly JC. Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations The Annals of Probability. 36: 2050-2091. DOI: 10.1214/08-Aop392  0.459
2008 Iyer G, Mattingly J. A stochastic-Lagrangian particle system for the Navier-Stokes equations Nonlinearity. 21: 2537-2553. DOI: 10.1088/0951-7715/21/11/004  0.417
2007 Anderson DF, Mattingly JC. Propagation of fluctuations in biochemical systems, II: Nonlinear chains. Iet Systems Biology. 1: 313-25. PMID 18203578 DOI: 10.1049/Iet-Syb:20060063  0.501
2007 Anderson DF, Mattingly JC, Nijhout HF, Reed MC. Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of Mathematical Biology. 69: 1791-813. PMID 17457656 DOI: 10.1007/S11538-007-9192-2  0.475
2007 Bakhtin Y, Mattingly JC. Malliavin calculus for infinite-dimensional systems with additive noise Journal of Functional Analysis. 249: 307-353. DOI: 10.1016/J.Jfa.2007.02.011  0.45
2007 Mattingly JC, Suidan TM, Vanden-Eijnden E. Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators Journal of Statistical Physics. 128: 1145-1152. DOI: 10.1007/S10955-007-9351-8  0.723
2007 Mattingly JC, Suidan T, Vanden-Eijnden E. Simple systems with anomalous dissipation and energy cascade Communications in Mathematical Physics. 276: 189-220. DOI: 10.1007/S00220-007-0333-0  0.719
2006 Nijhout HF, Reed MC, Anderson DF, Mattingly JC, James SJ, Ulrich CM. Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate. Epigenetics : Official Journal of the Dna Methylation Society. 1: 81-7. PMID 17998813 DOI: 10.4161/Epi.1.2.2677  0.414
2006 Hairer M, Mattingly J. Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing Annals of Mathematics. 164: 993-1032. DOI: 10.4007/Annals.2006.164.993  0.468
2006 Lamba H, Mattingly JC, Stuart AM. An adaptive Euler-Maruyama scheme for SDEs: convergence and stability Ima Journal of Numerical Analysis. 27: 479-506. DOI: 10.1093/Imanum/Drl032  0.383
2006 Mattingly JC, Pardoux É. Malliavin calculus for the stochastic 2D Navier—Stokes equation Communications On Pure and Applied Mathematics. 59: 1742-1790. DOI: 10.1002/Cpa.20136  0.475
2005 Bakhtin Y, Mattingly JC. Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations Communications in Contemporary Mathematics. 7: 553-582. DOI: 10.1142/S0219199705001878  0.442
2005 Mattingly JC, Suidan TM. The small scales of the stochastic Navier-Stokes equations under rough forcing Journal of Statistical Physics. 118: 343-364. DOI: 10.1007/S10955-004-8787-3  0.738
2004 Hairer M, Mattingly JC. Ergodic properties of highly degenerate 2D stochastic Navier–Stokes equations Comptes Rendus Mathematique. 339: 879-882. DOI: 10.1016/J.Crma.2004.09.035  0.393
2004 Hairer M, Mattingly JC, Pardoux É. Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations Comptes Rendus Mathematique. 339: 793-796. DOI: 10.1016/J.Crma.2004.09.002  0.466
2003 Mattingly JC. Contractivity and Ergodicity of the Random Map $\boldsymbol{\lowercase{x\,\mapsto\,|x-\theta|}}$ Theory of Probability and Its Applications. 47: 333. DOI: 10.1137/Tprbau000047000002000333000001  0.305
2002 Mattingly JC. Journal of Statistical Physics. 108: 1157-1179. DOI: 10.1023/A:1019799700126  0.383
2002 Mattingly J, Stuart A, Higham D. Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise Stochastic Processes and Their Applications. 101: 185-232. DOI: 10.1016/S0304-4149(02)00150-3  0.432
2002 Mattingly JC. Communications in Mathematical Physics. 230: 421-462. DOI: 10.1007/S00220-002-0688-1  0.415
2001 Weinan E, Mattingly JC, Sinai Y. Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation Communications in Mathematical Physics. 224: 83-106. DOI: 10.1007/S002201224083  0.639
2001 E W, Mattingly JC. Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite-dimensional approximation Communications On Pure and Applied Mathematics. 54: 1386-1402. DOI: 10.1002/Cpa.10007  0.448
1999 MATTINGLY JC, SINAI YG. AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS Communications in Contemporary Mathematics. 1: 497-516. DOI: 10.1142/S0219199799000183  0.606
1999 Mattingly JC. Ergodicity of 2D Navier-Stokes Equations with¶Random Forcing and Large Viscosity Communications in Mathematical Physics. 206: 273-288. DOI: 10.1007/S002200050706  0.476
1997 Holmes PJ, Lumley JL, Berkooz G, Mattingly JC, Wittenberg RW. Low-dimensional models of coherent structures in turbulence Physics Reports. 287: 337-384. DOI: 10.1016/S0370-1573(97)00017-3  0.359
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