Kesten's criterion for discrete probability measure-preserving groupoids
Functional Analysis
2025-12-11 v1 Dynamical Systems
Group Theory
Probability
Abstract
Inspired by Kesten's criterion for the amenability of groups, we establish a characterization of the amenability of discrete probability measure-preserving groupoids in terms of the operator norms of symmetric invariant Markov operators.
Keywords
Cite
@article{arxiv.2512.09507,
title = {Kesten's criterion for discrete probability measure-preserving groupoids},
author = {Soham Chakraborty and Milan Donvil and Felipe Flores and Mario Klisse},
journal= {arXiv preprint arXiv:2512.09507},
year = {2025}
}
Comments
15 pages