Fabien Durand (Amiens Universite de Picardie Jules Verne), Dominique Perrin

Dimension Groups and Dynamical Systems

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 594
• Erscheinungstermin: 12. Januar 2022
• Englisch
• Abmessung: 235mm x 157mm x 39mm
• Gewicht: 1032g
• ISBN-13: 9781108838689
• ISBN-10: 1108838685
• Artikelnr.: 62798049

Autorenporträt

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.

Inhaltsangabe

Introduction
1. Topological dynamical systems
2. Ordered groups
3. Ordered cohomology groups
4. Partitions in towers
5. Bratteli diagrams
6. Substitution shifts and generalizations
7. Dendric shifts
8. Interval exchange transformations
9. Bratteli diagrams and C*-algebras
Appendix A. Solutions to exercises
Appendix B. Useful definitions and results
Appendix C. Summary of examples
Appendix D. Equivalent definitions of Sturmian shifts
Appendix E. Open problems
References
Name index
Index of symbols
Subject index.