Measure concentration and the weak Pinsker property
نویسندگان
چکیده
منابع مشابه
Measure Concentration and the Weak Pinsker Property
Let pX,μq be a standard probability space. An automorphism T of this space has the weak Pinsker property if for every ε ą 0 it is isomorphic to a direct product of a Bernoulli shift and an automorphism of entropy less than ε. This property was introduced by Thouvenot, who conjectured that it holds for all measure-preserving systems. This paper proves Thouvenot’s conjecture. The proof applies wi...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 2018
ISSN: 0073-8301,1618-1913
DOI: 10.1007/s10240-018-0098-3