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Topics in Symbolic Dynamics and Applications

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Topics in Symbolic Dynamics and Applications

Topics in Symbolic Dynamics and Applications

F. Blanchard, Institut de France, Paris
A. Maass, Universidad de Chile
A. Nogueira, Universidade Federal do Rio de Janeiro
June 2000
Available
Paperback
9780521796606
£63.00
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eBook
    Description

    This book, first published in 2000, is devoted to developments in symbolic dynamics and 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 finally chapter eight gives a complete description of the symbolic dynamics of Lorenz maps.

    • Based on short courses given by the authors in Chile
    • Authors are authorities on this subject
    • No other up-to-date treatment available

    Product details

    June 2000
    Paperback
    9780521796606
    262 pages
    227 × 162 × 14 mm
    0.39kg
    28 b/w illus.
    Available

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    Contents

    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.
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    About the authors
      Contributors

    • V. Berthé, B. Host, M. Boyle, B. Kitchens, Z. Coelho, V. Bergelson, C. Frougny, R. Labarca

      • Editors
    • F. Blanchard , Institut de France, Paris
    • A. Maass , Universidad de Chile
    • A. Nogueira , Univesidade Federal do Rio de Janeiro

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