ENGLISH

Dimension Groups and Dynamical Systems: Substitutions, Bratteli Diagrams and Cantor Systems

By Dominique Perrin , Fabien Durand

Book information

Publisher
Cambridge University Press
Year
2022
ISBN
1108838685, 9781108838689
Language
english
Format
PDF
Filesize
6 MB (6562927 bytes)
Series
Cambridge Studies in Advanced Mathematics 196
Pages
593\593
Time added
2022-02-05 01:16:49

Description

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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