Monotone parameters on Cayley graphs of finitely generated groups

2024/04/16 by Kassabov, Martin, Pak, Igor
#20E08 #20F69 (Primary) #20P05 #60B15 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR)

paper · doi:10.48550/arxiv.2404.10870

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.

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