Neonatal
发表于 2025-3-25 05:51:54
An Introduction to the Kolmogorov–Bernoulli Equivalence
使绝缘
发表于 2025-3-25 09:21:59
Michael Jaekel,Karsten Bronnertexistence of invariant measures for a continuous map. In Sect. 2.2 we state the Birkhoff ergodic theorem and recall the definitions of ergodicity and mixing, two of the properties commonly cited in the ergodic hierarchy. In Sect. 2.3 we fix several notations for the operations among partitions, such
不幸的人
发表于 2025-3-25 13:09:55
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dithiolethione
发表于 2025-3-25 17:43:08
Book 2019lem, and presents recent results in this field. Starting with a crash course on ergodic theory, it uses the class of ergodic automorphisms of the two tori as a toy model to explain the main ideas and technicalities arising in the aforementioned problem. The level of generality then increases step by
EVEN
发表于 2025-3-25 20:24:22
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PHON
发表于 2025-3-26 02:10:32
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媒介
发表于 2025-3-26 04:20:27
,Hyperbolic Structures and the Kolmogorov–Bernoulli Equivalence,hism (Theorem 4.1). Linear ergodic automorphisms of . are very particular examples of Anosov diffeomorphisms. In light of this fact we will show how to obtain the Kolmogorov property for .. Anosov diffeomorphisms (Theorem 4.8) and how we can use it to obtain the Bernoulli property (Theorem 4.9) in parallel to the argument used in Chap. ..
fledged
发表于 2025-3-26 12:24:54
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Astigmatism
发表于 2025-3-26 16:12:01
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incredulity
发表于 2025-3-26 19:02:58
State of the Art,ies that appear along the arguments. The class derived from Anosov diffeomorphisms is the one for which the results differ the most from the results for Anosov diffeomorphisms, therefore we go deeper in this particular case and prove the key results which allow us to overcome the absence of complete hyperbolicity along the center direction.