Large Deviations for Finite State Markov Jump Processes with Mean-Field Interaction Via the Comparison Principle for an Associated Hamilton–Jacobi Equation

Limits of relative entropies associated with weakly interacting particle systems

(2015) Amarjit Budhiraja et al.   ELECTRONIC JOURNAL OF PROBABILITY

Local stability of Kolmogorov forward equations for finite state nonlinear Markov processes

(2015) Amarjit Budhiraja et al.   ELECTRONIC JOURNAL OF PROBABILITY

On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

(2014) A. Mielke et al.   POTENTIAL ANALYSIS

A singular 1-D Hamilton–Jacobi equation, with application to large deviation of diffusions

(2013) Xiaoxue Deng et al.   Communications in Mathematical Sciences

Large deviations and gradient flows

(2013) S. Adams et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Large deviation properties of weakly interacting processes via weak convergence methods

(2012) Amarjit Budhiraja et al.   ANNALS OF PROBABILITY

Low-Temperature Dynamics of the Curie-Weiss Model: Periodic Orbits, Multiple Histories, and Loss of Gibbsianness

(2010) Victor Ermolaev et al.   JOURNAL OF STATISTICAL PHYSICS