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A resolvent approach to metastability

  • Claudio Landim

    Institute for Pure and Applied Mathematics, Rio de Janeiro, Brazil; Université Rouen Normandie, Rouen, France

  • Diego Marcondes

    Universidade de São Paulo, Brazil

  • Insuk Seo

    Seoul National University, South Korea
A resolvent approach to metastability cover
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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 this article

Claudio Landim, Diego Marcondes, Insuk Seo, A resolvent approach to metastability. J. Eur. Math. Soc. (2023), published online first

DOI 10.4171/JEMS/1398