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Ergodicity

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Part of the book series: Texts and Readings in Mathematics ((TRM,volume 6))

Abstract

A measure preserving Borel automorphism σ on a probability space (X, Ɓ, m) is said to be ergodic if for every AB invariant under σ, m(A) = 0 or m(XA) = 0.

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Bibliography

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Nadkarni, M.G. (2013). Ergodicity. In: Basic Ergodic Theory. Texts and Readings in Mathematics, vol 6. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-53-8_3

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