Topics in Symbolic Dynamics and Applications by F. BlanchardTopics in Symbolic Dynamics and Applications by F. Blanchard

Topics in Symbolic Dynamics and Applications

EditorF. Blanchard, A. Maass, A. Nogueira

Paperback | July 31, 2000

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This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of "low complexity," the following two introduce "high complexity" systems. Chapter five presents results on asymptotic laws for the random times of occurrence of rare events. Chapter six deals with diophantine problems and combinatorial Ramsey theory. Chapter seven looks at the dynamics of symbolic systems arising from numeration systems, and chapter eight gives a complete description of the symbolic dynamics of Lorenz maps.
Title:Topics in Symbolic Dynamics and ApplicationsFormat:PaperbackDimensions:262 pages, 8.98 × 5.98 × 0.59 inPublished:July 31, 2000Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521796601

ISBN - 13:9780521796606


Table of Contents

1. Sequences of low complexity: automatic and sturmian sequences V. Berthé; 2. Substitution subshifts and Bratteli diagrams B. Host; 3. Algebraic aspects of symbolic dynamics M. Boyle; 4. Dynamics of Zd actions on Markov subgroups B. Kitchens; 5. Asymptotic laws for symbolic dynamical systems Z. Coelho; 6. Ergodic theory and diophantine problems V. Bergelson; 7. Number representation and finite automata C. Frougny; 8. A note on the topological classification of Lorenz maps on the interval R. Labarca.