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Toward the History of Dynamical Entropy: Comparing Two Definitions

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space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.

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Authors and Affiliations

  1. Moscow State University; Institute for Information Transmission Problems, Moscow, Russia

    B. M. Gurevich

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  1. B. M. Gurevich
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Correspondence to B. M. Gurevich.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 436, 2015, pp. 101–111.

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Gurevich, B.M. Toward the History of Dynamical Entropy: Comparing Two Definitions. J Math Sci 215, 693–699 (2016). https://doi.org/10.1007/s10958-016-2874-2

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