A Martingale approach to metastability

2013/05/26 by J. Beltrán, Cláudio Landim, Beltrán, J. +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #FOS: Mathematics #FOS: Physical sciences #Gene Regulatory Network Analysis #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1305.5987

openalex publication_date 2013/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We presented in \citebl2,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.

Citations

• Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes

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