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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.07049 |
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| _version_ | 1866917390132969472 |
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| author | de Lima, Bernardo N. B. Rolla, Leonardo T. Terra, Célio |
| author_facet | de Lima, Bernardo N. B. Rolla, Leonardo T. Terra, Célio |
| contents | We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be used to show that activity will be sustained for a long time. This yields a self-contained and relatively short proof of existence of a slow phase for arbitrarily large sleep rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07049 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the slow phase for fixed-energy Activated Random Walks de Lima, Bernardo N. B. Rolla, Leonardo T. Terra, Célio Probability We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be used to show that activity will be sustained for a long time. This yields a self-contained and relatively short proof of existence of a slow phase for arbitrarily large sleep rates. |
| title | On the slow phase for fixed-energy Activated Random Walks |
| topic | Probability |
| url | https://arxiv.org/abs/2408.07049 |