A joinings proof of Bourgain's return time theorem

Author:

Rudolph Daniel J.

Abstract

AbstractLet 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. [OW] Ornstein D. S. & Weiss B. . Subsequence ergodic theorems for amenable groups. Preprint.

2. Pointwise ergodic theorems for arithmetic sets;Bourgain;Pub. Math. IHES.

3. [B1] Bourgain J. . Return time sequences of Dynamical systems. IHES Preprint (3/1988).

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