# Jonathan Christopher Mattingly

- James B. Duke Distinguished Professor
- Professor of Mathematics

### Research Areas and Keywords

##### Analysis

Stochastic Analysis, Malliavin Calculus, Ergodic Theory

##### Biological Modeling

Stochastic and Random PDEs, Stochastic Dynamical Systems, Mathematical Ecology and Evolution, Metabolic and Cellular modeling, Out of equilibrium statistical mechanics

##### Computational Mathematics

Markov Chain Mixing, Stochastic Numerical Methods, High Dimensional Random Algorithms

##### PDE & Dynamical Systems

Stochastic and Random PDEs, Stochastic Dynamical Systems, Malliavin Calculus, Fluid Mechanics, Approximating invariant measures

##### Physical Modeling

Stochastic and Random PDEs, Stochastic Dynamical Systems, Fluid Mechanics

##### Probability

Stochastic and Random PDEs, Stochastic Dynamical Systems, Stochastic Analysis, Malliavin Calculus, Markov Chain Mixing, Ergodic Theory, High Dimensional Random Algorithms, Probability on stratified spaces, Out of equilibrium statistical mechanics, Approximating invariant measures

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. C., and E. Pardoux. “Invariant measure selection by noise. An example.” *Discrete and Continuous Dynamical Systems Series A*, vol. 34, no. 10, Jan. 2014, pp. 4223–57. *Scopus*, doi:10.3934/dcds.2014.34.4223.
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Lawley, S. D., et al. “Sensitivity to switching rates in stochastically switched ODEs.” *Communications in Mathematical Sciences*, vol. 12, no. 7, Jan. 2014, pp. 1343–52. *Scopus*, doi:10.4310/CMS.2014.v12.n7.a9.
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Mattingly, Jonathan C., and Christy Vaughn. “Redistricting and the Will of the People.” *Arxiv Preprint Arxiv:1410.8796*, 2014.
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Hotz, Thomas, et al. “Sticky central limit theorems on open books.” *The Annals of Applied Probability*, vol. 23, 2013, pp. 2238–58. *Manual*, doi:10.1214/12-AAP899.
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Mattingly, J. C., et al. “Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing.” *Stochastic Processes and Their Applications*, vol. 122, no. 12, Dec. 2012, pp. 3953–79. *Scopus*, doi:10.1016/j.spa.2012.07.003.
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Luo, Shishi, et al. “The impact of host immune status on the within-host and population dynamics of antigenic immune escape.” *J R Soc Interface*, vol. 9, no. 75, Oct. 2012, pp. 2603–13. *Pubmed*, doi:10.1098/rsif.2012.0180.
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Athreyaz, A., et al. “Propagating lyapunov functions to prove noise-induced stabilization.” *Electronic Journal of Probability*, vol. 17, 2012. *Scival*, doi:10.1214/EJP.v17-2410.
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Porporato, A., et al. “Local kinetic interpretation of entropy production through reversed diffusion.” *Phys Rev E Stat Nonlin Soft Matter Phys*, vol. 84, no. 4 Pt 1, Oct. 2011, p. 041142. *Pubmed*, doi:10.1103/PhysRevE.84.041142.
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Koelle, K., et al. “A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses.” *Proceedings of the Royal Society B: Biological Sciences*, vol. 278, no. 1725, 2011, pp. 3723–30. *Scival*, doi:10.1098/rspb.2011.0435.
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Hairer, Martin, and Jonathan C. Mattingly. *Yet Another Look at Harris’ Ergodic Theorem for Markov Chains*. Springer Basel, 2011, pp. 109–17. *Crossref*, doi:10.1007/978-3-0348-0021-1_7.
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