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Characteristic measures of symbolic dynamical systems

Frisch, Joshua and Tamuz, Omer (2019) Characteristic measures of symbolic dynamical systems. . (Unpublished)

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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)
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URLURL TypeDescription Paper
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).
Funding AgencyGrant Number
Simons Foundation419427
Binational Science Foundation (USA-Israel)2018397
Record Number:CaltechAUTHORS:20200615-160518971
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103931
Deposited By: Tony Diaz
Deposited On:15 Jun 2020 23:15
Last Modified:15 Jun 2020 23:15

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