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Research Interests for Jonathan C. Mattingly

Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids

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
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

Representative Publications
  1. with Natesh S. Pillai, Andrew M. Stuart, Diffusion Limits of the Random Walk Metropolis Algorithm in High Dimensions, Annals of Applied Probability (June, 2011) [1003.4306[abs]
  2. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777[abs]
  3. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (Submitted, April, 2014) [arXiv:1404.0955]
  4. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (Submitted, April, 2014) [arXiv:1404.0957]
  5. 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]
  6. with Christy Vaughn, Redistricting and the Will of the People (Preprint, October, 2014) [pdf[abs]
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320