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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dimension groups and dynamical systems :/ Fabien Durand, Dominique Perrin.
其他題名:	substitutions, Bratteli diagrams and cantor systems /
作者:	Durand, Fabien,
其他作者:	Perrin, Dominique,
面頁冊數:	1 online resource (vii, 584 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 24 Jan 2022).
標題:	Dimension theory (Topology) -
電子資源:	https://doi.org/10.1017/9781108976039
ISBN:	9781108976039 (ebook)

Dimension groups and dynamical systems : = substitutions, Bratteli diagrams and cantor systems /
Durand, Fabien,1969-

Dimension groups and dynamical systems :substitutions, Bratteli diagrams and cantor systems /Fabien Durand, Dominique Perrin. - 1 online resource (vii, 584 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;196. - Cambridge studies in advanced mathematics ;134..

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 (ebook)Subjects--Topical Terms:

683360
Dimension theory (Topology)

LC Class. No.: QA845 / .D87 2022

Dewey Class. No.: 515/.39

Dimension groups and dynamical systems : = substitutions, Bratteli diagrams and cantor systems /
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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.
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