
Jonathan C. Mattingly, James B. Duke Distinguished Professor of Mathematics and CNCS: Center for nonlinear and complex systems and Professor of Statistical Science
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.
Since 2013 he has also been working to understand and quantify gerrymandering and its interaction of a region's geopolitical landscape. This has lead him to testify in a number of court cases including in North Carolina, which led to the NC congressional and both NC legislative maps being deemed unconstitutional and replaced for the 2020 elections.
He is the recipient of a Sloan Fellowship and a PECASE CAREER award. He is also a fellow of the IMS and the AMS. He was awarded the Defender of Freedom award by Common Cause for his work on Quantifying Gerrymandering.
 Contact Info:
Teaching (Spring 2021):
 MATH 545.01, STOCHASTIC CALCULUS
Synopsis
 Online ON, TuTh 05:15 PM06:30 PM
 Education:
Ph.D.  Princeton University  1998 
M.A.  Princeton University  1996 
Auditor  ENS Lyon  1993 
B.S.  Yale University  1992 
High School Diploma  NCSSM  1988 
 Specialties:

Probability
Applied Math Analysis Mathematical Physics
 Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
 Areas of Interest:
Ergodic theory Truly infinite dimensional behabior in SPDEs Scaling limited of algorithems used in simulation and data analysis Probabilistic algorithms for large data Stabilization of dynamics my noise scaling limits of stochastic algorithms
 Keywords:
Differential equations, Nonlinear • Ergodic theory • Evolution • Fluid mechanics • Folic Acid • Invariant measures • Lyapunov functions • Malliavin calculus • Mixing • Models, Biological • Nonequilibrium statistical mechanics • Nonlinear Dynamics • Probability Theory • Random dynamical systems • Stochastic analysis • Stochastic differential equations • Stochastic partial differential equations • Stochastic Processes • Turbulence
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Herzog David (August, 2011  June, 2013)
 Avanti Athreya (2009  2011)
 Oliver Diaz Espinosa (2009  2011)
 Matthias Heymann (September, 2007  August, 2010)
 Boumediene Hamzi (September, 2007  June, 2010)
 Scott McKinley (September 1, 2006  June 1, 2010)
 David Anderson (September, 2005  December, 2005)
 Yuri Bakhtin (2004)
 Undergraduate Research Supervised
 (Paul) Yang Ziquan (June, 2013  2014)
 Steve Siyang Wang (June, 2013  November, 2013)
 Christy Vaughn (January, 2013  2015)
 Representative Publications
(More Publications)
(search)
 Mattingly, JC; Pardoux, E, Invariant measure selection by noise. An example,
Discrete and Continuous Dynamical Systems Series A, vol. 34 no. 10
(January, 2014),
pp. 42234257, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 [arXiv:1403.3593], [repository], [doi] [abs]
 Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; Owen, M; Patrangenaru, V; Skwerer, S, Sticky central limit theorems on open books,
The Annals of Applied Probability, vol. 23 no. 6
(2013),
pp. 22382258, Institute of Mathematical Statistics, ISSN 10505164 [arXiv:1202.4267], [12AAP899], [doi] [abs]
 with Mattingly, JC; Pillai, NS; Stuart, AM, Diffusion limits of the random walk Metropolis algorithm in high
dimensions,
Annals of Applied Probability, vol. 22 no. 3
(June, 2011),
pp. 881930, Institute of Mathematical Statistics [1003.4306], [1003.4306v4], [doi] [abs]
 with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains
(August, 2008) [arXiv:0810.2777] [abs]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows II
(Submitted, April, 2014) [arXiv:1404.0955]
 with Anderson, DF; Mattingly, JC, A weak trapezoidal method for a class of stochastic differential equations,
Communications in Mathematical Sciences, vol. 9 no. 1
(2011),
pp. 301318, International Press of Boston, ISSN 15396746 [0906.3475], [repository], [doi] [abs]
 with Hairer, M; Mattingly, JC, A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs,
Electronic Journal of Probability, vol. 16 no. 23
(2011),
pp. 658738, Institute of Mathematical Statistics, ISSN 10836489 [arXiv:0808.1361], [repository], [doi] [abs]
 with Martin Hairer,, Spectral gaps in Wasserstein distances and the 2D stochastic NavierStokes equations,
Annals of Probability, vol. 36 no. 6
(2008),
pp. 9931032, Institute of Mathematical Statistics [MR2478676], [math.PR/0602479], [doi] [abs]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows I
(Submitted, April, 2014) [arXiv:1404.0957]
 with Hairer, M; Mattingly, JC; Scheutzow, M, Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations,
Probability Theory and Related Fields, vol. 149 no. 1
(2011),
pp. 223259, Springer Nature, ISSN 01788051 [MR2531551], [0902.4495], [repository], [doi] [abs]
 with Bakhtin, Y; Hurth, T; Mattingly, JC, Regularity of invariant densities for 1D systems with random switching,
Nonlinearity, vol. 28 no. 11
(September, 2015),
pp. 37553787, IOP Publishing, ISSN 09517715 [arXiv:1406.5425], [repository], [doi] [abs]
 Hairer, M; Mattingly, JC, Slow energy dissipation in anharmonic oscillator chains,
Communications on Pure and Applied Mathematics, vol. 62 no. 8
(2009),
pp. 9991032, WILEY, ISSN 00103640 [MR2531551], [arXiv:0712.3884], [doi] [abs]
 with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs
(Submitted, 2014) [arXiv:1407.2264] [abs]
 with Mattingly, JC; Stuart, AM; Tretyakov, MV, Convergence of numerical timeaveraging and stationary measures via Poisson equations,
Siam Journal on Numerical Analysis, vol. 48 no. 2
(2010),
pp. 552577, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361429 [MR2669996], [0908.4450], [repository], [doi] [abs]
 Mattingly, JC; Stuart, AM; Higham, DJ, Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise,
Stochastic Processes and Their Applications, vol. 101 no. 2
(October, 2002),
pp. 185232, Elsevier BV, ISSN 03044149 [MR2003i:60103], [pdf], [doi] [abs]
 with Mattingly, JC; Vaughn, C, Redistricting and the Will of the People,
Arxiv Preprint Arxiv:1410.8796
(2014) [1410.8796v1] [abs]
 Mattingly, JC; Pardoux, É, Malliavin calculus for the stochastic 2D NavierStokes equation,
Communications on Pure and Applied Mathematics, vol. 59 no. 12
(2006),
pp. 17421790, WILEY, ISSN 00103640 [math.PR/0407215], [doi] [abs]
 Mattingly, JC, Exponential convergence for the stochastically forced NavierStokes equations and other partially dissipative dynamics,
Communications in Mathematical Physics, vol. 230 no. 3
(November, 2002),
pp. 421462, ISSN 00103616 [MR2004a:76039], [pdf], [doi] [abs]
 Hairer, M; Mattingly, JC, Ergodicity of the 2D NavierStokes equations with degenerate stochastic forcing,
Annals of Mathematics, vol. 164 no. 3
(2006),
pp. 9931032, Annals of Mathematics, Princeton U, ISSN 0003486X [math.PR/0406087], [doi] [abs]
 Weinan, E; Mattingly, JC; Sinai, Y, Gibbsian dynamics and ergodicity for the stochastically forced NavierStokes equation,
Communications in Mathematical Physics, vol. 224 no. 1
(December, 2001),
pp. 83106, ISSN 00103616 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf], [doi] [abs]
