Jonathan Christopher Mattingly
- Professor of Mathematics
- Chair of the Department of Mathematics
- Professor of Statistical Science (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
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
Li, L, Lu, J, Mattingly, J, and Wang, L. "Numerical methods for stochastic differential equations based on Gaussian mixture.". Open Access Copy
Lu, Y, and Mattingly, JC. "Geometric ergodicity of Langevin dynamics with Coulomb interactions.". 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
Johndrow, JE, Mattingly, JC, Mukherjee, S, and Dunson, D. "Optimal approximating Markov chains for Bayesian inference." 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
Wang, C, Mattingly, J, and Lu, YM. "Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA.". Open Access Copy