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Topological entropy and measure-theoretic entropy for automorphisms on compact groups

✍ Scribed by Nobuo Aoki


Publisher
Springer
Year
1971
Tongue
English
Weight
233 KB
Volume
5
Category
Article
ISSN
1433-0490

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Algebraic and topological entropy on lie
✍ Chuang Peng πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 497 KB

This paper starts with some examples and quick results on the topological entropy of continuous functions. It discusses the topological entropy on Lie groups and proves their shift properties. It proves Fried's conjecture h(Β’~,) <\_ h(Β’)+h(~) for affine maps on Lie groups. Moreover, Β’ and V do not h