English

Noise stability on hyperbolic groups

Probability 2025-01-16 v1 Dynamical Systems

Abstract

We show that symmetric random walks on non-elementary hyperbolic groups with non-zero homomorphisms into the reals are noise stable at linear scale under finite exponential moment condition.

Keywords

Cite

@article{arxiv.2501.08487,
  title  = {Noise stability on hyperbolic groups},
  author = {Timothée Bénard and Ryokichi Tanaka},
  journal= {arXiv preprint arXiv:2501.08487},
  year   = {2025}
}

Comments

12 pages

R2 v1 2026-06-28T21:06:37.926Z