Entropy and mixing for amenable group actions.
Asymptotically Brownian skew products give non-loosely Bernoulli K-automorphisms.
Almost block independence and Bernoullicity of Zd-actions by automorphisms of compact abelian groups.
The Morse minimal system is finitarily Kakutani equivalent to the binary odometer
Two invertible dynamical systems (X,,μ,T) and (Y,,ν,S), where X and Y are Polish spaces and Borel probability spaces and T, S are measure preserving homeomorphisms of X and Y, are said to be finitarily orbit equivalent if there exists an invertible measure preserving mapping ϕ from a subset X₀ of X of measure one onto a subset Y₀ of Y of full measure such that (1) is continuous in the relative topology on X₀ and is continuous in the relative topology on Y₀, (2) for μ-a.e. x ∈ X. (X,,μ,T) and...
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