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arXiv · 2512.08151

Noise sensitivity on virtually abelian groups

Jeremie Brieussel·Ryokichi Tanaka
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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.

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Jeremie Brieussel, Ryokichi Tanaka. 2025-12-09. Noise sensitivity on virtually abelian groups. https://arxiv.org/abs/2512.08151

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