Year: 2021
Type: article
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.
DOI: 10.1017/etds.2021.16
Authors: JOSHUA FRISCH, OMER TAMUZ
Institution: California Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2965913348