Special weak limits and simple spectrum of the tensor products of flows

DOI10.1070/SM8932zbMath1394.37006OpenAlexW2790903221MaRDI QIDQ4579941

V. V. Ryzhikov, Mikhail Sergeevich Lobanov

Publication date: 10 August 2018

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

Full work available at URL: https://doi.org/10.1070/sm8932

zbMATH Keywords

ergodic flowtensor productsimple spectrumGalois fieldlacunar rigidityspecial weak limit

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (4)

Unitary flows with tensor simple spectrum ⋮ Thouvenot's isomorphism problem for tensor powers of ergodic flows ⋮ Weak closure of infinite actions of rank 1, joinings, and spectrum ⋮ Measure-preserving rank one transformations

Cites Work

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• The homogeneous spectrum problem in ergodic theory
• An automorphism with simple, continuous spectrum not having the group property
• Simple spectrum of the tensor product of powers of a mixing automorphism
• Bounded ergodic constructions, disjointness, and weak limits of powers
• Mixing transformations with homogeneous spectrum
• SPECTRAL PROPERTIES OF GENERIC DYNAMICAL SYSTEMS
• Ergodic homoclinic groups, Sidon constructions and Poisson suspensions

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