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Positive entropy

  • Klaus Schmidt
Chapter
Part of the Progress in Mathematics book series (PM, volume 128)

Abstract

We begin this section with a brief discussion of entropy for a single automorphism α of a compact group X, in which we prove that every ergodic automorphism of an infinite, compact group has positive entropy, and that automorphisms with zero entropy have a very degenerate structure.

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Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • Klaus Schmidt
    • 1
  1. 1.Mathematisches InstitutUniversität WienViennaAustria

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