Dynamics seminar: Zemer Kosloff (HUJI) Sinai factors of nonsingular Bernoulli shifts

Abstract: We show that some examples of type-III:1 Bernoulli shifts on two symbols have a factor that is equivalent to an independent and identically distributed system and prove that there are type-III:1 Bernoulli shifts of every possible ergodic index. The latter implies that the classification of type III Bernoulli shifts according to metric isomorphism is more subtle than its classical counterpart (Ornstein theory).

This is joint work with Terry Soo. 

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Tue, 24/11/2020 - 14:00 to 15:00