Subsequence bounded rational ergodicity of rank-one transformations

Subsequence bounded rational ergodicity of rank-one transformations

We show that all rank-one transformations are subsequence boundedly rationally ergodic, and that there exist rank-one transformations that are not weakly rationally ergodic.

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Bibliographische Detailangaben
Veröffentlicht in:Dynamical systems (London, England) England), 2015-01, Vol.30 (1), p.70-84
Hauptverfasser: Bozgan, Francisc, Sanchez, Anthony, Silva, Cesar E., Stevens, David, Wang, Jane
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical systems
ergodic
Ergodic processes
infinite measure-preserving
Primary 37A40
rank-one
rationally ergodic
Secondary 37A05
Transformations
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Beschreibung
Zusammenfassung:We show that all rank-one transformations are subsequence boundedly rationally ergodic, and that there exist rank-one transformations that are not weakly rationally ergodic.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2014.970518