A Resolvent Approach to Metastability
Probability
2024-06-21 v4
Abstract
We provide a necessary and sufficient condition for the metastability of a Markov chain, expressed in terms of a property of the solutions of the resolvent equation. As an application of this result, we prove the metastability of reversible, critical zero-range processes starting from a configuration.
Cite
@article{arxiv.2102.00998,
title = {A Resolvent Approach to Metastability},
author = {C. Landim and D. Marcondes and I. Seo},
journal= {arXiv preprint arXiv:2102.00998},
year = {2024}
}