Phase transitions for nonsingular Bernoulli actions

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 Poincaré exponent of the group.

v3: minor changes, final version, to appear in Ergodic Theory and Dynamical Systems. 27 pages