Toward the History of Dynamical Entropy: Comparing Two Definitions

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space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-06, Vol.215 (6), p.693-699
Main Author: Gurevich, B. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-2874-2