Noise sensitivity on virtually abelian groups
Probability
2025-12-10 v1 Group Theory
Abstract
We show that aperiodic random walks with finite second moment on virtually abelian groups are noise sensitive in total variation if and only if the group admits no nonzero homomorphism onto the infinite cyclic group.
Cite
@article{arxiv.2512.08151,
title = {Noise sensitivity on virtually abelian groups},
author = {Jeremie Brieussel and Ryokichi Tanaka},
journal= {arXiv preprint arXiv:2512.08151},
year = {2025}
}