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Zero-dimensional automorphisms having a dense orbit

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Publication:1153447
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DOI10.2969/jmsj/03340693zbMath0463.22003OpenAlexW2073592518MaRDI QIDQ1153447

Nobuo Aoki

Publication date: 1981

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03340693


zbMATH Keywords

periodic pointsdense orbitzero-dimensional automorphismszero-dimensional compact metric abelian group


Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Compact groups (22C05) General properties and structure of LCA groups (22B05)


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A simple proof of the Bernoullicity of ergodic automorphisms on compact Abelian groups ⋮ Transitively-saturated property, Banach recurrence and Lyapunov regularity ⋮ Zero-dimensional automorphisms with specification ⋮ Dense orbits of automorphisms and compactness of groups




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