Dimension groups and dynamical systems: substitutions, Bratteli diagrams and cantor systems

by Durand, Fabien

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Title Statements

Full title :Dimension groups and dynamical systems : substitutions, Bratteli diagrams and cantor systems / Fabien Durand, Dominique Perrin.

Summary

"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"--

Edition Statements

Publication Date:©2022

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, United Kingdom
Language:eng
Publication Date:©2022

The Physical Object

Description:vii, 584 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:9781108838689, 1108838685
oclc:on1264715838
LC Classification:QA845
Dewey Decimal:515/.39

Topological dynamical systems -- Ordered groups -- Ordered cohomology groups -- Partitions in towers -- Bratteli diagrams -- Substitution shifts and generalizations -- Dendric shifts -- Interval exchange transformations -- Bratteli diagrams and C*-algebras.