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arXiv · 2210.05500

Phase transitions for nonsingular Bernoulli actions

Tey Berendschot
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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.

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Tey Berendschot. 2022-10-11. Phase transitions for nonsingular Bernoulli actions. https://arxiv.org/abs/2210.05500

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