Mixing transformations with homogeneous spectrum

DOI10.1070/SM2011V202N08ABEH004185zbMath1247.37008MaRDI QIDQ3225574

S. V. Tikhonov

Publication date: 22 March 2012

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

zbMATH Keywords

homogeneous spectrummixing transformationRokhlin's problem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (7)

Conjugacy classes are dense in the space of mixing \(\mathbb{Z}^d\)-actions ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Special weak limits and simple spectrum of the tensor products of flows ⋮ Complete metric on mixing actions of general groups ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Simple spectrum of the tensor product of powers of a mixing automorphism ⋮ On the collection of spectral multiplicities \(\{2, 4,\dots,2^n\}\) for totally ergodic \(\mathbb Z^2\)-actions

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