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space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.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