Generalized Oxtoby subshifts and hyperfiniteness

We show that there exists a class of symbolic subshifts which realizes all Choquet simplices as simplices of invariant measures and the conjugacy relation on that class is hyperfinite.

Publication Details

Journal
ArXiv.org
Published
2025-02-20
Primary Topic
Cellular Automata and Applications
Type
article
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article

Generalized Oxtoby subshifts and hyperfiniteness

ArXiv.org
Cellular Automata and Applications
article

Generalized Oxtoby subshifts and hyperfiniteness

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Abstract

We show that there exists a class of symbolic subshifts which realizes all Choquet simplices as simplices of invariant measures and the conjugacy relation on that class is hyperfinite.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 47%
Cellular Automata and Applications
Open Access PDFOpenAlex
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Generalized Oxtoby subshifts and hyperfiniteness · ArXiv.org (2025) | TGRS Research Map | TGRS