Math @ Duke

Research Interests for Jonathan C. Mattingly
Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
 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
 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
 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]
 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 David P. Herzog, NoiseInduced Stabilization of Planar Flows I
(Submitted, April, 2014) [arXiv:1404.0957]
 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 Christy Vaughn, Redistricting and the Will of the People
(Preprint, October, 2014) [pdf] [abs]


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