Conjugacy classes are dense in the space of mixing ℤd-actions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-01

AUTHORS

A. I. Bashtanov

ABSTRACT

The density of each conjugacy class in the space of mixing Zd-actions is proved. This result implies the genericity of rank 1, the triviality of the centralizer, and the absence of factors.

PAGES

9-23

References to SciGraph publications

  • 1967-01. Asymptotic behavior of the eigenvalues of the sturm-liouville operator problem in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1972-06. Commuting measure-preserving transformations in ISRAEL JOURNAL OF MATHEMATICS
  • 2013-01. Complete metric on mixing actions of general groups in JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
  • 2010-12. Property of almost independent images for ergodic transformations without partial rigidity in PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
  • Journal

    TITLE

    Mathematical Notes

    ISSUE

    1-2

    VOLUME

    99

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0001434616010028

    DOI

    http://dx.doi.org/10.1134/s0001434616010028

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1017384072


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