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Article Dans Une Revue Journal of the European Mathematical Society Année : 2023

A Resolvent Approach to Metastability

Résumé

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.

Dates et versions

hal-03428268 , version 1 (15-11-2021)

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Claudio Landim, Diego Marcondes, Insuk Seo. A Resolvent Approach to Metastability. Journal of the European Mathematical Society, In press, ⟨10.48550/arXiv.2102.00998⟩. ⟨hal-03428268⟩
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