Approximate transitivity of the ergodic action of the group of finite permutations of on

Approximate transitivity of the ergodic action of the group of finite permutations of on

In this paper we show that the natural action of the symmetric group acting on the product space $\{0,1\}^{\mathbb{N}}$ endowed with a Bernoulli measure is approximately transitive. We also extend the result to a larger class of probability measures.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ergodic theory and dynamical systems 2019-11, Vol.39 (11), p.2881-2895
Hauptverfasser: BAKER, B. MITCHELL, GIORDANO, THIERRY, MUNTEANU, RADU B.
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Mathematics
Permutations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we show that the natural action of the symmetric group acting on the product space $\{0,1\}^{\mathbb{N}}$ endowed with a Bernoulli measure is approximately transitive. We also extend the result to a larger class of probability measures.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2018.9