Independence and Alpern multitowers

Independence and Alpern multitowers

Let T be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space , and P  any finite measurable partition of X. We show that a (finite) Alpern multitower may always be constructed whose base is independent of P.

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Veröffentlicht in:Dynamical systems (London, England) England), 2019-04, Vol.34 (2), p.239-243
Hauptverfasser: Campbell, James T., McCutcheon, Randall, Windsor, Alistair
Format: Artikel
Sprache:eng
Schlagworte:
Alpern tower
independent sets
measure-preserving transformation
probability space
Rohlin tower
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Beschreibung
Zusammenfassung:Let T be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space , and P  any finite measurable partition of X. We show that a (finite) Alpern multitower may always be constructed whose base is independent of P.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2018.1504891