Random walk on hyperbolic groups and proper powers

The probability that a symmetric random walk in a hyperbolic group reaches a proper power has the same exponential rate of decay as the probability of return to the identity.

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Journal
ArXiv.org
Published
2025-08-07
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Random walk on hyperbolic groups and proper powers

Mikael de la Salle
ArXiv.org
Geometric and Algebraic Topology
article

Random walk on hyperbolic groups and proper powers

Mikael de la Salle
article en

Abstract

The probability that a symmetric random walk in a hyperbolic group reaches a proper power has the same exponential rate of decay as the probability of return to the identity.

ArXiv.org
Institut Camille Jordan (FR)
Openalex Percentile: Top 58%
Geometric and Algebraic Topology
Open Access PDFOpenAlex
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Random walk on hyperbolic groups and proper powers — Mikael de la Salle · ArXiv.org (2025) | TGRS Research Map | TGRS