# Jonathan Christopher Mattingly

- Professor of Mathematics
- Chair of the Department of Mathematics
- Professor of Statistical Science (Secondary)

### Research Areas and Keywords

##### Analysis

##### Biological Modeling

##### Computational Mathematics

##### PDE & Dynamical Systems

##### Physical Modeling

##### Probability

Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and Computational Mathematics in 1998. After 4 years as a Szego assistant professor at Stanford University and a year as a member of the IAS in Princeton, he moved to Duke in 2003. He is currently a Professor of Mathematics and of Statistical Science.

His expertise is in the longtime behavior of stochastic system including randomly forced fluid dynamics, turbulence, stochastic algorithms used in molecular dynamics and Bayesian sampling, and stochasticity in biochemical networks.

He is the recipient of a Sloan Fellowship and a PECASE CAREER award. He is also a fellow of the IMS and the AMS.

Athreyaz, A, Kolba, T, and Mattingly, JC. "Propagating lyapunov functions to prove noise-induced stabilization." *Electronic Journal of Probability* 17 (2012).
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Porporato, A, Kramer, PR, Cassiani, M, Daly, E, and Mattingly, J. "Local kinetic interpretation of entropy production through reversed diffusion." *Phys Rev E Stat Nonlin Soft Matter Phys* 84.4 Pt 1 (October 2011): 041142-.
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Hairer, M, Mattingly, JC, and Scheutzow, M. "Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations." *Probability Theory and Related Fields* 149.1 (2011): 223-259.
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Anderson, DF, and Mattingly, JC. "A weak trapezoidal method for a class of stochastic differential equations." *Communications in Mathematical Sciences* 9.1 (2011): 301-318.
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Hairer, M, and Mattingly, JC. "A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs." *Electronic Journal of Probability* 16 (2011): 658-738.
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Hairer, M, and Mattingly, JC. "Yet Another Look at Harris' Ergodic Theorem for Markov Chains." *SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS VI* 63 (2011): 109-+.
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Koelle, K, Ratmann, O, Rasmussen, DA, Pasour, V, and Mattingly, J. "A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses." *Proceedings of the Royal Society B: Biological Sciences* 278.1725 (2011): 3723-3730.
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Mattingly, JC, Stuart, AM, and Tretyakov, MV. "Convergence of numerical time-averaging and stationary measures via Poisson equations." *SIAM Journal on Numerical Analysis* 48.2 (2010): 552-577.
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Hairer, M, and Mattingly, JC. "Slow energy dissipation in anharmonic oscillator chains." *Communications on Pure and Applied Mathematics* 62.8 (2009): 999-1032.
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Hairer, M, Mattingly, JC, and Martin Hairer, . "Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equationsSpectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations." *Annals of Probability* 6 (2008): 993-1032. (Academic Article)