Monotone parameters on Cayley graphs of finitely generated groups

Martin Kassabov; Igor Pak

doi:10.4171/ggd/1010

JournalsggdOnline First

Monotone parameters on Cayley graphs of finitely generated groups

Martin Kassabov
Cornell University, Ithaca, USA
Igor Pak
UCLA, Los Angeles, USA

A subscription is required to access this article.

Abstract

We construct a new large family of finitely generated groups with uncountably many values of the following monotone parameters: spectral radius, critical probabilities, and asymptotic entropy. We also present several open problems on other monotone parameters.

Cite this article

Martin Kassabov, Igor Pak, Monotone parameters on Cayley graphs of finitely generated groups. Groups Geom. Dyn. (2026), published online first

DOI 10.4171/GGD/1010