# 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.

Holmes, PJ, Lumley, JL, Berkooz, G, Mattingly, JC, and Wittenberg, RW. "Low-dimensional models of coherent structures in turbulence." *Physics Report* 287.4 (January 1, 1997): 337-384. (Review)
Full Text

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

Heymann, M, Teitsworth, SW, and Mattingly, JC. "Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices." Open Access Copy

Bangia, S, Graves, CV, Herschlag, G, Kang, HS, Luo, J, Mattingly, JC, and Ravier, R. "Redistricting: Drawing the Line." Open Access Copy

Herzog, DP, and Mattingly, JC. "Ergodicity and Lyapunov functions for Langevin dynamics with singular potentials." Open Access Copy

Johndrow, JE, and Mattingly, JC. "Error bounds for Approximations of Markov chains." Open Access Copy

Herschlag, G, Kang, HS, Luo, J, Graves, CV, Bangia, S, Ravier, R, and Mattingly, JC. "Quantifying Gerrymandering in North Carolina.". Open Access Copy

Wang, C, Mattingly, J, and Lu, YM. "Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA.".

Gao, Y, Kirkpatrick, K, Marzuola, J, Mattingly, J, and Newhall, K. "Limiting Behaviors of High Dimensional Stochastic Spin Ensembles.". Open Access Copy