Locally compact sofic entropy theory

This paper generalizes sofic entropy theory, in both the topological and measure-theory settings, to actions of locally compact groups. We prove invariance under topological and measure conjugacy of these entropies and establish the variational principle.

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Publication Details

Journal
Transactions of the American Mathematical Society Series B
Published
2025-02-06
DOI
https://doi.org/10.1090/btran/179
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00

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article

Locally compact sofic entropy theory

Lewis Bowen
Transactions of the American Mathematical Society Series B
Mathematical Dynamics and Fractals
article

Locally compact sofic entropy theory

Lewis Bowen
article en

Abstract

This paper generalizes sofic entropy theory, in both the topological and measure-theory settings, to actions of locally compact groups. We prove invariance under topological and measure conjugacy of these entropies and establish the variational principle.

Transactions of the American Mathematical Society Series BVol. 12(5)
The University of Texas at Austin (US)
National Science Foundation
Openalex Percentile: Top 95%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Locally compact sofic entropy theory — Lewis Bowen · Transactions of the American Mathematical Society Series B (2025) | TGRS Research Map | TGRS