Local limit theorems on relatively hyperbolic groups with respect to virtually nilpotent subgroups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911067146289152 |
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| author | Dussaule, Matthieu |
| author_facet | Dussaule, Matthieu |
| contents | Given a probability measure on a finitely generated group, the local limit problem consists in finding asymptotics of $p_n(e,e)$, the probability that the random walk at time $n$ is at the origin. We give the classification of all possible local limit theorems, up to bounded error, for finitely supported, symmetric, admissible probability measures on a relatively hyperbolic group with respect to virtually nilpotent subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local limit theorems on relatively hyperbolic groups with respect to virtually nilpotent subgroups Dussaule, Matthieu Group Theory Probability Given a probability measure on a finitely generated group, the local limit problem consists in finding asymptotics of $p_n(e,e)$, the probability that the random walk at time $n$ is at the origin. We give the classification of all possible local limit theorems, up to bounded error, for finitely supported, symmetric, admissible probability measures on a relatively hyperbolic group with respect to virtually nilpotent subgroups. |
| title | Local limit theorems on relatively hyperbolic groups with respect to virtually nilpotent subgroups |
| topic | Group Theory Probability |
| url | https://arxiv.org/abs/2507.15408 |