English

Random walk on hyperbolic groups and proper powers

Group Theory 2025-08-08 v1 Probability

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.

Keywords

Cite

@article{arxiv.2508.05438,
  title  = {Random walk on hyperbolic groups and proper powers},
  author = {Mikael de la Salle},
  journal= {arXiv preprint arXiv:2508.05438},
  year   = {2025}
}

Comments

8 pages

R2 v1 2026-07-01T04:39:11.627Z