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Spectra of self-similar ergodic actions

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Publication:2690986
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DOI10.1134/S0001434623010303MaRDI QIDQ2690986

V. V. Ryzhikov

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07350

zbMATH Keywords

spectrumweak closuremeasure-preserving transformationisomorphism of ergodic systemsself-similar construction


Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Measure and integration (28-XX)




Cites Work

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  • Weak closures of ergodic actions
  • Mixing sets for rigid transformations
  • Absolute continuity and singularity of spectra for the flows \(T_t\otimes T_{at}\)
  • On self-similarities of ergodic flows
  • A survey on spectral multiplicities of ergodic actions
  • Ergodic homoclinic groups, Sidon constructions and Poisson suspensions
  • Non-unique inclusion in a flow and vast centralizer of a generic measure-preserving transformation
  • Encyclopedia of Complexity and Systems Science
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