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arXiv · 1603.05013

Weak equivalence of stationary actions and the entropy realization problem

Peter Burton·Martino Lupini·Omer Tamuz
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Abstract

We introduce the notion of weak containment for stationary actions of a countable group and define a natural topology on the space of weak equivalence classes. We prove that Furstenberg entropy is an invariant of weak equivalence, and moreover that it descends to a continuous function on the space of weak equivalence classes.

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Peter Burton, Martino Lupini, Omer Tamuz. 2016-03-16. Weak equivalence of stationary actions and the entropy realization problem. https://arxiv.org/abs/1603.05013

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