Thouvenot’s Isomorphism Problem for Tensor Powers of Ergodic Flows View Full Text


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Article Info

DATE

2018-11

AUTHORS

V. V. Ryzhikov

ABSTRACT

Let S and T be automorphisms of a probability space whose powers S ⊗ S and T ⊗ T isomorphic. Are the automorphisms S and T isomorphičThis question of Thouvenot is well known in ergodic theory. We answer this question and generalize a result of Kulaga concerning isomorphism in the case of flows. We show that if weakly mixing flows St ⊗ St and Tt ⊗ Tt are isomorphic, then so are the flows St and Tt, provided that one of them has a weak integral limit. More... »

PAGES

900-904

References to SciGraph publications

  • 2012-04. A note on the isomorphism of Cartesian products of ergodic flows in JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
  • Journal

    TITLE

    Mathematical Notes

    ISSUE

    5-6

    VOLUME

    104

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0001434618110330

    DOI

    http://dx.doi.org/10.1134/s0001434618110330

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1110980192


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