# 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.

Mattingly, J, Stuart, A, and Higham, D. "Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise." *Stochastic Processes and their Applications* 101.2 (October 2002): 185-232.
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Mattingly, JC, and Stuart, AM. "Geometric ergodicity of some hypo-elliptic diffusions for particle motions." *Markov Processes and Related Fields* 8 (2002): 199-214. (Academic Article)

Mattingly, JC, and Mattingly, JC. "Contractivity and ergodicity of the random map $x\mapsto|x-\theta|$." *Теория вероятностей и ее применения* 47.2 (2002): 388-397.
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E, W, Mattingly, JC, and Sinai, Y. "Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation." *Communications in Mathematical Physics* 224.1 (November 2001): 83-106.
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E, W, and Mattingly, JC. "Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite-dimensional approximation." *Communications on Pure and Applied Mathematics* 54.11 (November 2001): 1386-1402.
Full Text Open Access Copy

Mattingly, JC. "Ergodicity of 2D Navier-Stokes Equations with¶Random Forcing and Large Viscosity." *Communications in Mathematical Physics* 206.2 (October 1, 1999): 273-288.
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Mattingly, JC, and Sinai, YG. "An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations." *Communications in Contemporary Mathematics* 1.4 (1999): 497-516.
Open Access Copy

Holmes, PJ, Lumley, JL, Berkooz, G, Mattingly, JC, and Wittenberg, RW. "Low-dimensional models of coherent structures in turbulence." *Physics Reports* 287.4 (August 1997): 337-384.
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Johndrow, JE, Mattingly, JC, Mukherjee, S, and Dunson, D. "Optimal approximating Markov chains for Bayesian inference." Open Access Copy

Mattingly, JC, Pillai, NS, and Stuart, AM. "Diffusion limits of the random walk Metropolis algorithm in high
dimensions." *Annals of Applied Probability* 22.3: 881-930.
Full Text Open Access Copy