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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© 1995 Springer Basel AG
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Schmidt, K. (1995). CHAPTER VI Positive entropy. In: Dynamical Systems of Algebraic Origin. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0277-2_6
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DOI: https://doi.org/10.1007/978-3-0348-0277-2_6
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Publisher Name: Springer, Basel
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Online ISBN: 978-3-0348-0277-2
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