Step-reinforced random walks and one-half
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908382177263616 |
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| author | Qin, Shuo |
| author_facet | Qin, Shuo |
| contents | Under suitable moment assumptions, we show that a genuinely d-dimensional step-reinforced random walk undergoes a phase transition between recurrence and transience in dimensions $d=1,2$, and that it is transient for all reinforcement parameters in dimensions $d\geq 3$, which solves a conjecture of Bertoin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16396 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Step-reinforced random walks and one-half Qin, Shuo Probability Under suitable moment assumptions, we show that a genuinely d-dimensional step-reinforced random walk undergoes a phase transition between recurrence and transience in dimensions $d=1,2$, and that it is transient for all reinforcement parameters in dimensions $d\geq 3$, which solves a conjecture of Bertoin. |
| title | Step-reinforced random walks and one-half |
| topic | Probability |
| url | https://arxiv.org/abs/2402.16396 |