Monotone parameters on Cayley graphs of finitely generated groups
Group Theory
2024-05-20 v2 Probability
Abstract
We construct a new large family of finitely generated groups with continuum many values of the following monotone parameters: spectral radius, critical percolation, and asymptotic entropy. We also present several open problems on other monotone parameters.
Keywords
Cite
@article{arxiv.2404.10870,
title = {Monotone parameters on Cayley graphs of finitely generated groups},
author = {Martin Kassabov and Igor Pak},
journal= {arXiv preprint arXiv:2404.10870},
year = {2024}
}
Comments
In v2, Thm 1.2 is strengthened to close the gap. Also, we revised attributions, added references, expanded final and historical remarks; 19 pages