Metastable Markov chains

Abstract

We review recent results on the metastable behavior of continuous-time Markov chains derived through the characterization of Markov chains as unique solutions of martingale problems.

References in corpus (8)

• Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
• Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• K-processes, scaling limit and aging for the trap model in the complete graph
• Condenser physics applied to Markov chains - A brief introduction to potential theory
• Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions
• Metastability of one-dimensional, non-reversible diffusions with periodic boundary conditions
• Variational formulae for the capacity induced by second-order elliptic differential operators

Cited by in corpus (3)

• Simple Conditions for Metastability of Continuous Markov Chains
• Analysis of metastable behavior via solutions of Poisson equations
• Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials