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Application to invariant and ergodic measures

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1757)

Abstract

Let S be a set, S a σ-ring of subsets of S, and T a family of measurable functions from S into S, i.e., for each T in T we have T : SS and T -1 AS whenever AS A nonnegative finite measure μ on S is said to be invariant (or T-invariant) if μ(T -1 A)= μ(A) for each T in T and A in S.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Application to invariant and ergodic measures. In: Phelps, R.R. (eds) Lectures on Choquet’s Theorem. Lecture Notes in Mathematics, vol 1757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48719-0_12

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  • DOI: https://doi.org/10.1007/3-540-48719-0_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41834-4

  • Online ISBN: 978-3-540-48719-7

  • eBook Packages: Springer Book Archive