The dependency digraph for irreducible finite-range random walk in free groups
Probability
2025-07-23 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.2507.15902,
title = {The dependency digraph for irreducible finite-range random walk in free groups},
author = {Chevalier Guillaume},
journal= {arXiv preprint arXiv:2507.15902},
year = {2025}
}