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On the isomorphism problem for endomorphisms of Lebesgue spaces. I, II, III

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Publication:1393500
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DOI10.2977/prims/1195192560zbMath0277.28005OpenAlexW4250853142MaRDI QIDQ1393500

Izumi Kubo, Haruo Totoki, Hiroshi Murata

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192560


Mathematics Subject Classification ID

Measure-preserving transformations (28D05)


Related Items

A simple proof of the Bernoullicity of ergodic automorphisms on compact Abelian groups, Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems, Theory of dynamical systems and general transformation groups with invariant measure



Cites Work

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  • Bernoulli shifts with the same entropy are isomorphic
  • On isomorphism of weak Bernoulli transformations
  • Two Bernoulli shifts with infinite entropy are isomorphic
  • On Ornstein's isomorphism theorem for Bernoulli shifts
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