Dimension Groups and Dynamical Systems
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Dimension Groups and Dynamical Systems by Dominique Perrin
This book is the first self-contained exposition of the link between dynamical systems and dimension groups. Recommended for graduate students as well as established researchers, it contains a thorough introduction to the field, including full proofs of the major results, as well a wealth of examples, exercises and open problems.
'This substantial monograph comprises the first thorough and self-contained exposition of the theory of dimension groups in topological dynamics … It is a welcome addition to the dynamics literature in an area of much activity with links to several other disciplines, including operator algebras and computer science' Thomas B. Ward, zbMATH
'… an impressive self-contained expository presentation that explores the connections between properties of topological dynamical systems and their dimension groups. The book is a rich source of material on topological and symbolic dynamics and will be useful for both graduate students in mathematics or computer science and experienced researchers.' Olena Karpel, MathSciNet
'A valuable resource, especially for those interested in the dimension groups and Vershik maps as related to low complexity subshifts.' Mike Boyle, Bulletin of the American Mathematical Society
'… an impressive self-contained expository presentation that explores the connections between properties of topological dynamical systems and their dimension groups. The book is a rich source of material on topological and symbolic dynamics and will be useful for both graduate students in mathematics or computer science and experienced researchers.' Olena Karpel, MathSciNet
'A valuable resource, especially for those interested in the dimension groups and Vershik maps as related to low complexity subshifts.' Mike Boyle, Bulletin of the American Mathematical Society
Fabien Durand is Full Professor in Mathematics at Université de Picardie Jules Verne. His interests include topological dynamical systems and the relations with theoretical computer science. He is currently the president of the Société Mathématique de France. Dominique Perrin is Emeritus Professor in Mathematics and Computer Science at Université Gustave Eiffel. He is (co)author or editor of a number of books including Profinite Semigroups and Symbolic Dynamics, Codes and Automata, Infinite Words and Combinatorics on Words (under the pseudonym Lothaire). He is a member of Academia Europea.
| SKU | Unavailable |
| ISBN 13 | 9781108838689 |
| ISBN 10 | 1108838685 |
| Title | Dimension Groups and Dynamical Systems |
| Author | Dominique Perrin |
| Series | Cambridge Studies In Advanced Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2022-02-03 |
| Number of pages | 760 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |