On ergodic transformations with homogeneous spectrum
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Publication:1972790
DOI10.1023/A:1021701019156zbMath0943.37005OpenAlexW113909926MaRDI QIDQ1972790
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
Cartesian producthomogeneous spectrumergodic automorphismhomogeneous spectrum of multiplicity tworange of the multiplicity function of Cartesian powers
Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30)
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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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