The dependency digraph for irreducible finite-range random walk in free groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913952082952192 |
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| author | Guillaume, Chevalier |
| author_facet | Guillaume, Chevalier |
| contents | This article is one of a triptych composed with [Che25a] and [Che25b], that aims at proving an asymptotic expansion to any order of the passage probability of an irreducible equivariant finite range random walk on a tree. In this text we study the analytic and geometric properties of the objects introduced in [Che25b]. To do so we introduce the definition of a ''flooded cavern tree'' enabling a precise study of some dependency digraph associated with a given irreducible finite-range random walk on a free group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The dependency digraph for irreducible finite-range random walk in free groups Guillaume, Chevalier Probability Group Theory This article is one of a triptych composed with [Che25a] and [Che25b], that aims at proving an asymptotic expansion to any order of the passage probability of an irreducible equivariant finite range random walk on a tree. In this text we study the analytic and geometric properties of the objects introduced in [Che25b]. To do so we introduce the definition of a ''flooded cavern tree'' enabling a precise study of some dependency digraph associated with a given irreducible finite-range random walk on a free group. |
| title | The dependency digraph for irreducible finite-range random walk in free groups |
| topic | Probability Group Theory |
| url | https://arxiv.org/abs/2507.15902 |