A Resolvent Approach to Metastability
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866914840350556160 |
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| author | Landim, C. Marcondes, D. Seo, I. |
| author_facet | Landim, C. Marcondes, D. Seo, I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_00998 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Resolvent Approach to Metastability Landim, C. Marcondes, D. Seo, I. Probability Primary 60K35 60K40 60J35, Secondary 60F99 60J45 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. |
| title | A Resolvent Approach to Metastability |
| topic | Probability Primary 60K35 60K40 60J35, Secondary 60F99 60J45 |
| url | https://arxiv.org/abs/2102.00998 |