On ergodic transformations with homogeneous spectrum

DOI10.1023/A:1021701019156zbMath0943.37005OpenAlexW113909926MaRDI QIDQ1972790

O. N. Ageev

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:1021701019156

zbMATH Keywords

Cartesian producthomogeneous spectrumergodic automorphismhomogeneous spectrum of multiplicity tworange of the multiplicity function of Cartesian powers

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (14)

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 ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Homogeneous spectrum and mixing transformations ⋮ 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 ⋮ Poisson suspensions and infinite ergodic theory ⋮ Weak closure of infinite actions of rank 1, joinings, and spectrum ⋮ On the collection of spectral multiplicities \(\{2, 4,\dots,2^n\}\) for totally ergodic \(\mathbb Z^2\)-actions

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