Jonathan Christopher Mattingly

  • Professor of Mathematics
  • Professor of Statistical Science (Secondary)
  • Chair of the Department 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
Education & Training
  • Ph.D., Princeton University 1998

  • M.A., Princeton University 1996

  • B.S., Yale University 1992

BIGDATA:F: Scalable Bayes uncertainty quantification with guarantees awarded by National Science Foundation (Co-Principal Investigator). 2015 to 2019

Collaborative research: Propagation of dissipation: Stochastic stabilization in finite and infinite dimensions awarded by National Science Foundation (Principal Investigator). 2016 to 2019

Analysis and design of robust rare event simulation methods for protein folding and d awarded by University of Chicago (Principal Investigator). 2013 to 2018

EMSW21-RTG: awarded by National Science Foundation (Co-Principal Investigator). 2010 to 2017

Multiscale Analysis of Dynamic Graphs awarded by Office of Naval Research (Co-Principal Investigator). 2012 to 2016

FRG: Collaborative Proposal: awarded by National Science Foundation (Principal Investigator). 2009 to 2013

CAREER: Stochastic Analysis and Numerics in Partial Differential Equations and Extended Dynamical Systems awarded by National Science Foundation (Principal Investigator). 2005 to 2011

Analysis of Mechanisms of Biochemical Homeostasis awarded by National Science Foundation (Co-Principal Investigator). 2006 to 2010

Tempkin, JOB, Koten, BV, Mattingly, JC, Dinner, AR, and Weare, J. "Trajectory stratification of stochastic dynamics." (2016). Open Access Copy

Bakhtin, Y, Hurth, T, and Mattingly, JC. "Regularity of invariant densities for 1D systems with random switching." Nonlinearity 28.11 (October 1, 2015): 3755-3787. Full Text Open Access Copy

Herzog, DP, and Mattingly, JC. "A practical criterion for positivity of transition densities." Nonlinearity 28.8 (August 1, 2015): 2823-2845. Full Text Open Access Copy

Lawley, SD, Mattingly, JC, and Reed, MC. "Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE." SIAM Journal on Mathematical Analysis 47.4 (January 2015): 3035-3063. Full Text Open Access Copy

Herzog, D, and Mattingly, J. "Noise-induced stabilization of planar flows II." Electronic Journal of Probability 20.0 (2015). Full Text Open Access Copy

Huckemann, S, Mattingly, J, Miller, E, and Nolen, J. "Sticky central limit theorems at isolated hyperbolic planar singularities." Electronic Journal of Probability 20.0 (2015). Full Text Open Access Copy

Mattingly, JC, and Pardoux, E. "Invariant measure selection by noise. An example." Discrete and Continuous Dynamical Systems 34.10 (April 2014): 4223-4257. Full Text Open Access Copy

Lawley, SD, Mattingly, JC, and Reed, MC. "Sensitivity to switching rates in stochastically switched odes." Communications in Mathematical Sciences 12.7 (2014): 1343-1352. Full Text Open Access Copy

Pages

Mattingly, JC, and Suidan, TM. "Transition measures for the stochastic Burgers equation." 2008.

Holmes, PJ, Mattingly, JC, and Wittenberg, RW. "Low-dimensional models of turbulence or, The dynamics of coherent structures." 19 (2001): 177-215. Full Text

Team gerrymandering, led by Professor Jonathan Mattingly, feature their latest works in a new webpage: https://www.math.duke.edu/projects/gerrymandering/.... read more »


Math Professor Jonathan Mattingly

Bracket math isn’t an exact science, but for years mathematicians have told us that the odds of picking a perfect NCAA tournament bracket are a staggering 1 in 9,223,372,036,854,775,808 (that’s 9.2 quintillion). According to Duke math... read more »