The isomorphism theorem for Bernoulli flows
نویسندگان
چکیده
منابع مشابه
Brooks’ theorem for Bernoulli shifts
If Γ is an infinite group with finite symmetric generating set S, we consider the graph G(Γ, S) on [0, 1]Γ by relating two distinct points if an element of s sends one to the other via the shift action. We show that, aside from the cases Γ = Z and Γ = (Z/2Z) ∗ (Z/2Z), G(Γ, S) satisfies a measure-theoretic version of Brooks’ theorem: there is a G(Γ, S)-invariant conull Borel set B ⊆ [0, 1]Γ and ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1973
ISSN: 0001-8708
DOI: 10.1016/0001-8708(73)90101-1