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Entropy and mixing for amenable group actions.

Rudolph, Daniel J.; Weiss, Benjamin — 2000

Annals of Mathematics. Second Series

Asymptotically Brownian skew products give non-loosely Bernoulli K-automorphisms.

Daniel J. Rudolph — 1988

Inventiones mathematicae

Almost block independence and Bernoullicity of Zd-actions by automorphisms of compact abelian groups.

Klaus Schmidt; Daniel J. Rudolph — 1995

Inventiones mathematicae

The Morse minimal system is finitarily Kakutani equivalent to the binary odometer

Mrinal Kanti Roychowdhury; Daniel J. Rudolph — 2008

Fundamenta Mathematicae

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) ${ϕ |}_{X ₀}$ is continuous in the relative topology on X₀ and $ϕ^{- 1} |_{Y ₀}$ is continuous in the relative topology on Y₀, (2) $ϕ (O r b_{T} (x)) = O r b_{S} (ϕ (x))$ for μ-a.e. x ∈ X. (X,,μ,T) and...

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