Recurrence of the plane Elephant random walk
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866917885608198144 |
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| author | Curien, Nicolas Laulin, Lucile |
| author_facet | Curien, Nicolas Laulin, Lucile |
| contents | We give a short proof of the recurrence of the two-dimensional elephant random walk in the diffusive regime. This was recently established by Shuo Qin, but our proof only uses very rough comparison with the standard plane random walk. We hope that the method can be useful for other applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10314 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Recurrence of the plane Elephant random walk Curien, Nicolas Laulin, Lucile Probability We give a short proof of the recurrence of the two-dimensional elephant random walk in the diffusive regime. This was recently established by Shuo Qin, but our proof only uses very rough comparison with the standard plane random walk. We hope that the method can be useful for other applications. |
| title | Recurrence of the plane Elephant random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2310.10314 |