Work

Monotone parameters on Cayley graphs of finitely generated groups

Year: 2026

Type: 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.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/1010

Authors: Martin Kassabov, Igor Pak

Institutions: Cornell University, University of California, Los Angeles

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

OpenAlex ID: W4394947016

FWCI: 3.514

Cites: 5

Cited by: 2

Related to: 10