Uniform endomorphisms which are isomorphic to a Bernoulli shift
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Publication:1852702
DOI10.2307/3597184zbMath1017.37005arXivmath/0411494OpenAlexW2054027924MaRDI QIDQ1852702
Daniel J. Rudolph, Christopher Hoffmann
Publication date: 28 August 2003
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411494
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Informal research statement ⋮ Natural extensions for piecewise affine maps via Hofbauer towers ⋮ Graph-directed systems and self-similar measures on limit spaces of self-similar groups ⋮ Local geometry and dynamical behavior on folded basic sets ⋮ When T is an irrational rotation, and are Bernoulli: explicit isomorphisms ⋮ Shannon entropy for stationary processes and dynamical systems ⋮ Isomorphisms between positive and negative -transformations ⋮ Bernoulliness of when is an irrational rotation: towards an explicit isomorphism ⋮ Higher dimensional expanding maps and toral extensions ⋮ Filtrations associated to some two-to-one transformations
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