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 (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200615-160518971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) | ||||||||
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| 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). | ||||||||
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| 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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