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Loose Bernoullicity is preserved under exponentiation by integrable functions

Published online by Cambridge University Press:  19 September 2008

Maurice H. Rahe  and
Daniel J. Rudolph
Maurice H. Rahe
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA
Daniel J. Rudolph
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA
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Abstract

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It is known that if Ω is a Lebesgue space, T:Ω→Ω is a loosely Bernoulli transformation, and L is a fixed non-zero integer, then the transformation S = TL will again be loosely Bernoulli on each ergodic component. In this note, the above stated result is extended to include the case where L is an arbitrary integrable integer-valued function on Ω.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 263 - 265
Copyright
Copyright © Cambridge University Press 1987

References

REFERENCES

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