Symbolic Extensions of Amenable Group Actions and the Comparison Property (Memoirs of the American Mathematical Society)

ISBN 10: 1470455870 / ISBN 13: 9781470455873

Published by Amer Mathematical Society 0

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Bibliographic Details

• Title: Symbolic Extensions of Amenable Group Actions and the Comparison Property (Memoirs of the American Mathematical Society)
• Publisher: Amer Mathematical Society 0
• Language: English
• ISBN 10: 1470455870
• ISBN 13: 9781470455873
• Binding: paperback
• Condition: New
• Book Type: book

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Synopsis

In topological dynamics, say Downarowicz and Zhang, the Symbolic Extension Entropy Theorem (Doye and Downarowicz, 2004) describes the possibility of a lossless digitalization of a dynamical system by extending it to a subshift on finitely many symbols. Here they prove the analog of the Theorem for actions of (discrete infinite) countable amenable groups. Among their topics are preliminaries on actions of countable amenable groups, entropy structure and the easy direction of the main theorem, quasi-symbolic extensions: the hard direction of the main theorem, and encodable tiling systems. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)