arXiv:2210.05500 Abstract | arXiv Analytics

arXiv:2210.05500 [math.DS]Abstract References Reviews Resources

Phase transitions for nonsingular Bernoulli actions

Published 2022-10-11Version 1

Inspired by the phase transition results for nonsingular Gaussian actions introduced in arXiv:1911.04272 [math.DS], 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 its ergodic theoretical properties in terms of the Poincar\'e exponent of the group.

Comments: 27 pages. Comments are welcome!

Categories: math.DS, math.OA

Subjects: 37A40

Keywords: nonsingular bernoulli actions, phase transition results, nonsingular gaussian actions, poincare exponent, ergodic theoretical properties

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