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A joinings proof of Bourgain's return time theorem

Published online by Cambridge University Press:  19 September 2008

Daniel J. Rudolph
Daniel J. Rudolph
Affiliation:
Mathematics Department, University of Maryland, College Park, MD 20742, USA
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Abstract

Let T be a measure-preserving transformation of the Lebesgue probability space (X, F, μ). We call (X, Fμ, T) a dynamical system. Bourgain has proven the following theorem.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 1 , March 1994 , pp. 197 - 203
Copyright
Copyright © Cambridge University Press 1994

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References

REFERENCES

[B1]Bourgain, J.. Return time sequences of Dynamical systems. IHES Preprint (3/1988).Google Scholar
[B2]Bourgain, J.. Pointwise ergodic theorems for arithmetic sets. Pub. Math. IHES. 69.Google Scholar
[OW]Ornstein, D. S. & Weiss, B.. Subsequence ergodic theorems for amenable groups. Preprint.Google Scholar
[R]Rudolph, D. J.. Fundamentals of Measurable Dynamics. Oxford University Press, New York, 1990.Google Scholar