On the spectral and mixing properties of rank-one constructions in ergodic theory

DOI10.1134/S1064562406040193zbMath1132.37004OpenAlexW2052981988MaRDI QIDQ2477459

V. V. Ryzhikov

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406040193

zbMATH Keywords

spectral propertylimit constructionmixing automorphisms of a Lebesgue spacerank-one transformationsstaircase constructions

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (6)

Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Mixing on stochastic staircase tansformations ⋮ Measure-preserving rank one transformations ⋮ Littlewood polynomials and applications of them in the spectral theory of dynamical systems

Cites Work

• Transformations having homogeneous spectra
• On ergodic transformations with homogeneous spectrum
• A survey of recent results in the spectral theory of ergodic dynamical systems
• Smorodinsky’s conjecture on rank-one mixing
• Mixing on a class of rank-one transformations

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