Dimension Groups and Dynamical Systems
eBook - PDF

Dimension Groups and Dynamical Systems

Substitutions, Bratteli Diagrams and Cantor Systems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Dimension Groups and Dynamical Systems

Substitutions, Bratteli Diagrams and Cantor Systems

About this book

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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Yes, you can access Dimension Groups and Dynamical Systems by Fabien Durand,Dominique Perrin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Introduction
  8. 1 Topological Dynamical Systems
  9. 2 Ordered Groups
  10. 3 Ordered Cohomology Groups
  11. 4 Partitions in Towers
  12. 5 Bratteli Diagrams
  13. 6 Substitution Shifts and Generalizations
  14. 7 Dendric Shifts
  15. 8 Interval Exchange Transformations
  16. 9 Bratteli Diagrams and C*-Algebras
  17. A Solutions to Exercises
  18. B Useful Definitions and Results
  19. C Summary of Examples
  20. D Equivalent Definitions of Sturmian Shifts
  21. E Open Problems
  22. References
  23. Name Index
  24. Index of Symbols
  25. Subject Index