Monotone parameters on Cayley graphs of finitely generated groups
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.
Authors
- Martin Kassabov (ORCID: https://orcid.org/0000-0002-8302-2568)
- Igor Pak (ORCID: https://orcid.org/0000-0001-8579-7239)
Institutions
- University of California, Los Angeles (US)
- Cornell University (US)
Publication Details
- Journal
- Groups Geometry and Dynamics
- Published
- 2026-11-06
- DOI
- https://doi.org/10.4171/ggd/1010
- Citations
- 2
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 3.66
Funders
- National Science Foundation