The homogeneous spectrum problem in ergodic theory
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Publication:1775151
DOI10.1007/s00222-004-0422-zzbMath1064.37003OpenAlexW1991312187MaRDI QIDQ1775151
Publication date: 4 May 2005
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00222-004-0422-z
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)
Related Items (15)
Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions ⋮ New spectral multiplicities for mixing transformations ⋮ Spectral multiplicities of infinite measure preserving transformations ⋮ Special weak limits and simple spectrum of the tensor products of flows ⋮ Spectral doubling of normal operators and connections with antiunitary operators ⋮ Unitary flows with tensor simple spectrum ⋮ Homogeneous spectrum and mixing transformations ⋮ Asymptotic Abelianness, weak mixing, and property T ⋮ Mixing with staircase multiplicity functions ⋮ A survey on spectral multiplicities of ergodic actions ⋮ Spectral rigidity of group actions: Applications to the case gr⟨𝑡,𝑠;𝑡𝑠=𝑠𝑡²⟩ ⋮ Measure-preserving rank one transformations ⋮ Generic properties of extensions ⋮ Simple spectrum of the tensor product of powers of a mixing automorphism ⋮ Approximation of mixing transformations
Cites Work
- Ergodic measure preserving transformations with arbitrary finite spectral multiplicities
- The Rohlin tower theorem and hyperfiniteness for actions of continuous groups
- Theory of dynamical systems and general transformation groups with invariant measure
- Entropy and mixing for amenable group actions
- Transformations having homogeneous spectra
- On ergodic transformations with homogeneous spectrum
- A survey of recent results in the spectral theory of ergodic dynamical systems
- Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian
- On the multiplicity function of generic group extensions with continuous spectrum
- DYNAMICAL SYSTEMS WITH AN EVEN-MULTIPLICITY LEBESGUE COMPONENT IN THE SPECTRUM
- Generic Spectral Properties of Measure-Preserving Maps and Applications
- Conjugacies between ergodic transformations and their inverses
- Transformations conjugate to their inverses have even essential values
- On the multiplicity function of ergodic group extensions, II
- Commuting point transformations
- On the ranks of an ergodic automorphism \(T\times T\)
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