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Dimension Groups and Dynamical Systems

Dimension Groups and Dynamical Systems

Substitutions, Bratteli Diagrams and Cantor Systems

Fabien Durand, Dominique Perrin

Cambridge University Press
Publication date : 2022-02-03

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This book is the first self-contained exposition of the fascinating link between dynamical systems and dimension groups. The authors explore the rich interplay between topological properties of dynamical systems and the algebraic structures associated with them, with an emphasis on symbolic systems, particularly substitution systems. It is recommended for anybody with an interest in topological and symbolic dynamics, automata theory or combinatorics on words. Intended to serve as an introduction for graduate students and other newcomers to the field as well as a reference for established researchers, the book includes a thorough account of the background notions as well as detailed exposition – with full proofs – of the major results of the subject. A wealth of examples and exercises, with solutions, serve to build intuition, while the many open problems collected at the end provide jumping-off points for future research.

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About the book

Author

Fabien Durand , Dominique Perrin

Imprint

Cambridge University Press

Collection

n.c

Publication date

2022-02-03

Pages

n.c

Print ISBN

9781108838689

Language

English

Ebook informations

EAN PDF

9781108986090

Price

£71.74

Copy count 0

Print count 0

File size 13926 Ko

Informations accessibility

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About author(s)

Fabien Durand

Dominique Perrin

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