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Let X be a non-empty set.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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ergodic measure preserving automorphism, natural density one, dyadic adding machine, irreducible permutation, clopen base, recurrence lemma, pairwise disjoint copies, countable decomposition, measure preserving automorphisms, metric outer measure, ergodic with respect, standard probability space, pairwise disjoint union, wandering set, orbit equivalent, finite invariant measure, same null sets, orbit equivalence, recurrent point, measurable flow, ergodic averages, descriptive set theory, ergodic theorem, complete separable metric space, induced automorphism
Key Phrases - Capitalized Phrases (CAPs):
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Diadic Adding Machine, G-invariant Borel, Discrete Spectrum Theorem, Hewitt-Savage Zero-one Law, Representation of Non-singular Flows, Tnk Pik
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