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Characteristic measures of symbolic dynamical systems

Frisch, Joshua and Tamuz, Omer (2019) Characteristic measures of symbolic dynamical systems. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200615-160518971

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Abstract

A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures. We use similar techniques to show that automorphism groups of minimal zero entropy shifts are sofic.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1908.02930arXivDiscussion Paper
ORCID:
AuthorORCID
Tamuz, Omer0000-0002-0111-0418
Additional Information:J. Frisch was funded by NSF Grant DMS-1464475. O. Tamuz was supported by the Simons Foundation (#419427) and by a BSF award (#2018397).
Funders:
Funding AgencyGrant Number
NSFDMS-1464475
Simons Foundation419427
Binational Science Foundation (USA-Israel)2018397
Record Number:CaltechAUTHORS:20200615-160518971
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200615-160518971
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103931
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Jun 2020 23:15
Last Modified:15 Jun 2020 23:15

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