Titlebook: An Introduction to the Kolmogorov–Bernoulli Equivalence; Gabriel Ponce,Régis Var?o Book 2019 The Author(s), under exclusive licence to Spr

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https://doi.org/10.1007/978-3-030-27390-3Kolmogorov systems; Bernoulli systems; ergodic theory; isomorphism problem; disintegration of measures; 3

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AWRY

Die digitale Evolution moderner Gro?st?dtec hierarchy of measure preserving transformations and quickly discuss the problem of detecting conditions under which the Kolmogorov property is promoted to the Bernoulli property. In particular the method introduced by Ornstein and Weiss is of particular interest for our context (smooth dynamics).

Fillet,Filet

Michael Jaekel,Karsten Bronnerthich will be crucial to the development of the results in the subsequent chapters. This chapter has no intention of being an introductory approach to ergodic theory or entropy theory, but to provide an account of results which will be necessary for the subsequent chapters, therefore proofs of the ci

Handedness

https://doi.org/10.1007/978-3-531-90649-2s originally given by Ornstein and Weiss in 1973 in the article entitled “Geodesic flows are Bernoullian” (Ornstein and Weiss, Isr J Math 14:184–198, 1973). The method introduced by Ornstein–Weiss uses the geometric structures associated to the ergodic automorphisms of . to obtain a sequence of refi