Matches in SemOpenAlex for { <https://semopenalex.org/work/W2984242557> ?p ?o ?g. }
- W2984242557 abstract "We provide a unifying approach which links results on algebraic actions by Lind and Schmidt, Chung and Li, and a topological result by Meyerovitch that relates entropy to the set of asymptotic pairs. In order to do this we introduce a series of Markovian properties and, under the assumption that they are satisfied, we prove several results that relate topological entropy and asymptotic pairs (the homoclinic group in the algebraic case). As new applications of our method, we give a characterization of the homoclinic group of any finitely presented expansive algebraic action of (1) any elementary amenable group with an upper bound on the orders of finite subgroups or (2) any left orderable amenable group, using the language of independence entropy pairs." @default.
- W2984242557 created "2019-11-22" @default.
- W2984242557 creator A5011344744 @default.
- W2984242557 creator A5057018278 @default.
- W2984242557 creator A5063447100 @default.
- W2984242557 date "2019-11-02" @default.
- W2984242557 modified "2023-10-18" @default.
- W2984242557 title "Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group" @default.
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- W2984242557 doi "https://doi.org/10.48550/arxiv.1911.00785" @default.
- W2984242557 hasPublicationYear "2019" @default.
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