A survey on spectral multiplicities of ergodic actions

DOI10.1017/S0143385711000800zbMath1261.37009arXiv1104.1961OpenAlexW2963227580MaRDI QIDQ4911064

Alexandre I. Danilenko

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1961

zbMATH Keywords

Koopman realizable operatorsmethod of auxiliary group actionsmethod of Cartesian productsmethod of isometric extensionsrealizable sets of spectral multiplicities

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (7)

Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions ⋮ Nonsingular Poisson suspensions ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Spectra of self-similar ergodic actions ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Measure-preserving rank one transformations ⋮ On the collection of spectral multiplicities \(\{2, 4,\dots,2^n\}\) for totally ergodic \(\mathbb Z^2\)-actions

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