V. A. Rokhlin, “On the Entropy of an Automorphism of a Compact Commutative Group”, Teor. Veroyatnost. i Primenen., 1961, Volume 6, Issue 3,Pages <nobr>351

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Teor. Veroyatnost. i Primenen., 1961 Volume 6, Issue 3, Pages 351–352 (Mi tvp4790)

This article is cited in 7 papers

Short Communications

On the Entropy of an Automorphism of a Compact Commutative Group

V. A. Rokhlin

Leningrad

Abstract: The paper contains the proof of the following theorem: every ergodic automorphism of a non trivial compact Abelian group has a positive entropy.

Received: 26.10.1960

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English version: Theory of Probability and its Applications, 1961, 6:3, 322–323