Transformations having homogeneous spectra

DOI10.1023/A:1021748902318zbMath0954.37007OpenAlexW2093443800MaRDI QIDQ1972789

V. V. Ryzhikov

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021748902318

zbMATH Keywords

automorphismCartesian producthomogeneous spectrum

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (12)

Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions ⋮ On asymmetry of the future and the past for limit self-joinings ⋮ New spectral multiplicities for mixing transformations ⋮ Spectral multiplicities of infinite measure preserving transformations ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Mixing with staircase multiplicity functions ⋮ A survey on spectral multiplicities of ergodic actions ⋮ On the spectral and mixing properties of rank-one constructions in ergodic theory ⋮ The homogeneous spectrum problem in ergodic theory ⋮ Spectral multiplicity in ergodic theory ⋮ On the collection of spectral multiplicities \(\{2, 4,\dots,2^n\}\) for totally ergodic \(\mathbb Z^2\)-actions

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