Phase transitions for nonsingular Bernoulli actions
Dynamical Systems
2023-02-27 v3 Operator Algebras
Abstract
Inspired by the phase transition results for nonsingular Gaussian actions introduced in arXiv:1911.04272, we prove several phase transition results for nonsingular Bernoulli actions. For generalized Bernoulli actions arising from groups acting on trees, we are able to give a very precise description of their ergodic theoretical properties in terms of the Poincar\'e exponent of the group.
Cite
@article{arxiv.2210.05500,
title = {Phase transitions for nonsingular Bernoulli actions},
author = {Tey Berendschot},
journal= {arXiv preprint arXiv:2210.05500},
year = {2023}
}
Comments
v3: minor changes, final version, to appear in Ergodic Theory and Dynamical Systems. 27 pages