Bernoulli shifts and local density property

DOI10.3103/S0027132212010056zbMath1269.37004MaRDI QIDQ355305

Mohammad Hasan, M. Dambrine

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

local density propertysquaring mapping

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Cites Work

• Unnamed Item
• 2-fold and 3-fold mixing: why 3-dot-type counterexamples are impossible in one dimension
• The generic automorphism of a Lebesgue space conjugate to a \(G\)-extension for any finite abelian group \(G\).
• The generic transformation can be embedded in a flow.
• Complete metric on the set of mixing transformations
• The generic transformation has roots of all orders
• Non-unique inclusion in a flow and vast centralizer of a generic measure-preserving transformation

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