A Martingale approach to metastability

Abstract

We presented in \cite{bl2,bl7} an approach to derive the metastable behavior of continuous-time Markov chains. We assumed in these articles that the Markov chains visit points in the time scale in which it jumps among the metastable sets. We replace this condition here by assumtpions on the mixing times and on the relaxation times of the chains reflected at the boundary of the metastable sets.

References in corpus (2)

• Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus
• Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes