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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 1, Pages 50–83
DOI: https://doi.org/10.4213/faa4174 (Mi faa4174) 		 
Intrinsic ergodicity, generators, and symbolic representations of algebraic group actions

Hanfeng Lia, Klaus Schmidtb

a Department of Mathematics, State University of New York at Buffalo, New York, USA
b Mathematics Institute, University of Vienna, Vienna, Austria
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DOI: https://doi.org/10.4213/faa4174
Abstract: We construct natural symbolic representations of intrinsically ergodic, but not necessarily expansive, principal algebraic actions of countably infinite amenable groups and use these representations to find explicit generating partitions (up to null-sets) for such actions.
Keywords: principal algebraic actions, symbolic representations, generating partitions, intrinsic ergodicity, summable homoclinic points.
Funding agency Grant number
National Science Foundation DMS-1900746
The first author gratefully acknowledges partial support by the National Science Foundation grant DMS-1900746.
Received: 11.11.2023
Revised: 11.11.2023
Accepted: 15.11.2023
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 1, Pages 39–64
DOI: https://doi.org/10.1134/S0016266324010052
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Hanfeng Li, Klaus Schmidt, “Intrinsic ergodicity, generators, and symbolic representations of algebraic group actions”, Funktsional. Anal. i Prilozhen., 58:1 (2024), 50–83; Funct. Anal. Appl., 58:1 (2024), 39–64
Citation in format AMSBIB
\Bibitem{LiSch24}
\by Hanfeng Li, Klaus Schmidt
\paper Intrinsic ergodicity, generators, and symbolic representations
of algebraic group actions
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 1
\pages 50--83
\mathnet{http://mi.mathnet.ru/faa4174}
\crossref{https://doi.org/10.4213/faa4174}
\transl
\jour Funct. Anal. Appl.
\yr 2024
\vol 58
\issue 1
\pages 39--64
\crossref{https://doi.org/10.1134/S0016266324010052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85193461260}
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