Strongly Mixing Sequences of Measure Preserving Transformations

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We call a sequence (Tn) of measure preserving transformations strongly mixing if P(Tn−1AB) tends to P(A)P(B) for arbitrary measurable A, B. We investigate whether one can pass to a suitable subsequence (Tnk) such that 1/K ∑k=1Kf(Tnk) ∫ f dP almost surely for all (or “manyrdquo;) integrable f.

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