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Weak equivalence of stationary actions and the entropy realization problem

Burton, Peter and Lupini, Martino and Tamuz, Omer (2016) Weak equivalence of stationary actions and the entropy realization problem. , Pasadena, CA. (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20161111-122744051

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1603.05013arXivDiscussion Paper
ORCID:
AuthorORCID
Lupini, Martino0000-0003-1588-7057
Tamuz, Omer0000-0002-0111-0418
Record Number:CaltechAUTHORS:20161111-122744051
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161111-122744051
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71952
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Nov 2016 00:19
Last Modified:27 Apr 2017 19:49

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