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arXiv · 2404.10870

Monotone parameters on Cayley graphs of finitely generated groups

Martin Kassabov·Igor Pak
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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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Martin Kassabov, Igor Pak. 2024-04-16. Monotone parameters on Cayley graphs of finitely generated groups. https://arxiv.org/abs/2404.10870

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