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Dimension groups and dynamical systemssubstitutions, Bratteli diagrams and cantor systems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dimension groups and dynamical systemsFabien Durand, Dominique Perrin.
Reminder of title:	substitutions, Bratteli diagrams and cantor systems /
Author:	Durand, Fabien.
other author:	Perrin, Dominique.
Published:	Cambridge ; New York, NY :Cambridge University Press,2022.
Description:	vii, 584 p. :ill., digital ;23 cm.
Notes:	Title from publisher's bibliographic system (viewed on 24 Jan 2022).
Subject:	Dynamics.
Online resource:	https://doi.org/10.1017/9781108976039
ISBN:	9781108976039$q(electronic bk.)

Dimension groups and dynamical systemssubstitutions, Bratteli diagrams and cantor systems /
Durand, Fabien.

Dimension groups and dynamical systemssubstitutions, Bratteli diagrams and cantor systems /[electronic resource] :Fabien Durand, Dominique Perrin. - Cambridge ; New York, NY :Cambridge University Press,2022. - vii, 584 p. :ill., digital ;23 cm. - Cambridge studies in advanced mathematics ;196. - Cambridge studies in advanced mathematics ;105..

Title from publisher's bibliographic system (viewed on 24 Jan 2022).

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.

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.

ISBN: 9781108976039$q(electronic bk.)Subjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA845 / .D87 2022

Dewey Class. No.: 515.39

Dimension groups and dynamical systemssubstitutions, Bratteli diagrams and cantor systems /
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245 1 0 $a Dimension groups and dynamical systems $h [electronic resource] : $b substitutions, Bratteli diagrams and cantor systems / $c Fabien Durand, Dominique Perrin.
260 $a Cambridge ; New York, NY : $b Cambridge University Press, $c 2022.
300 $a vii, 584 p. : $b ill., digital ; $c 23 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 196
500 $a Title from publisher's bibliographic system (viewed on 24 Jan 2022).
505 0 $a 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.
520 $a 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.
650 0 $a Dynamics. $3 189568
650 0 $a Group theory. $3 189579
650 0 $a Dimension theory (Topology) $3 307752
700 1 $a Perrin, Dominique. $3 586377
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/9781108976039