# Jonathan Christopher Mattingly

- Professor of Mathematics
- Professor of Statistical Science (Secondary)
- Chair of the Department of Mathematics

### Research Areas and Keywords

##### Analysis

##### Biological Modeling

##### Computational Mathematics

##### PDE & Dynamical Systems

##### Physical Modeling

##### Probability

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

Southeastern Probability Conference 2017: Special Edition Interacting Particle Systems with Applications in Biology, Ecology, and Statistical Physics awarded by National Science Foundation (Principal Investigator). 2017 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

Hairer, M, and Mattingly, J. "The strong Feller property for singular stochastic PDEs (Submitted)." (2016). Open Access Copy

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

Luo, S, and Mattingly, JC. "Scaling limits of a model for selection at two scales." (2015). 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

## Pages

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

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 »