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Journal of Mathematical Sciences

, Volume 215, Issue 6, pp 693–699 | Cite as

Toward the History of Dynamical Entropy: Comparing Two Definitions

  • B. M. Gurevich
Article

We prove that for ergodic automorphisms of a Lebesgue space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.

Keywords

Entropy Ergodic Theory Lebesgue Space Master Thesis Bernoulli Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Moscow State University; Institute for Information Transmission ProblemsMoscowRussia

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