Kolmogorov automorphism

id: kolmogorov-automorphism-162-18395207
title: Kolmogorov automorphism
text: In mathematics, a Kolmogorov automorphism, K-automorphism, K-shift or K-system is an invertible, measure-preserving automorphism defined on a standard probability space that obeys Kolmogorov's zero–one law. All Bernoulli automorphisms are K-automorphisms, but not vice versa. Many ergodic dynamical systems have been shown to have the K-property, although more recent research has shown that many of these are in fact Bernoulli automorphisms. Although the definition of the K-property seems reasonabl
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Kolmogorov_automorphism
date created: 2012-07-28T03:19:17Z
date modified: 2024-08-28T05:48:19Z
main entity: {"identifier":"Q6427427","url":"https://www.wikidata.org/entity/Q6427427"}
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integrity: 14

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