Examples of stable-like random walks on groups of polynomial growth
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916927876628480 |
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| author | Saloff-Coste, Laurent Zhang, Ruoqi |
| author_facet | Saloff-Coste, Laurent Zhang, Ruoqi |
| contents | We consider several families of long jump random walks on groups of polynomial volume growth which are naturally expected to have a stable-like behavior. We then prove optimal pseudo-Poincaré inequalities for these walks. These pseudo-Poincaré inequalities allow us to show that the random walks in questions indeed have a stable-like behavior and to obtain detailed estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Examples of stable-like random walks on groups of polynomial growth Saloff-Coste, Laurent Zhang, Ruoqi Probability We consider several families of long jump random walks on groups of polynomial volume growth which are naturally expected to have a stable-like behavior. We then prove optimal pseudo-Poincaré inequalities for these walks. These pseudo-Poincaré inequalities allow us to show that the random walks in questions indeed have a stable-like behavior and to obtain detailed estimates. |
| title | Examples of stable-like random walks on groups of polynomial growth |
| topic | Probability |
| url | https://arxiv.org/abs/2509.00970 |