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| Hardcover ISBN: | 978-0-8218-3157-1 |
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| Hardcover ISBN: | 978-0-8218-3157-1 |
| Product Code: | PSAPM/60 |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-9275-6 |
| Product Code: | PSAPM/60.E |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| Hardcover ISBN: | 978-0-8218-3157-1 |
| eBook ISBN: | 978-0-8218-9275-6 |
| Product Code: | PSAPM/60.B |
| List Price: | $224.00 $174.50 |
| MAA Member Price: | $201.60 $157.05 |
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Book DetailsProceedings of Symposia in Applied MathematicsVolume: 60; 2004; 156 ppMSC: Primary 37; 94; 19
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics.
This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It contains introductory articles on the fundamental ideas of the field and on some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong shift equivalence theory.
Contributors to the volume are experts in the field and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.
ReadershipGraduate students and research mathematicians interested in symbolic dynamics and its applications.
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Table of Contents
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Articles
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Susan G. Williams — Introduction to symbolic dynamics [ MR 2078843 ]
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Brian Marcus — Combining modulation codes and error correcting codes [ MR 2078844 ]
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Paul Blanchard, Robert L. Devaney and Linda Keen — Complex dynamics and symbolic dynamics [ MR 2078845 ]
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Douglas Lind — Multi-dimensional symbolic dynamics [ MR 2078846 ]
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E. Arthur Robinson, Jr. — Symbolic dynamics and tilings of $\mathbb {R}^d$ [ MR 2078847 ]
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J. B. Wagoner — Strong shift equivalence theory [ MR 2078848 ]
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Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics.
This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It contains introductory articles on the fundamental ideas of the field and on some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong shift equivalence theory.
Contributors to the volume are experts in the field and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.
Graduate students and research mathematicians interested in symbolic dynamics and its applications.
-
Articles
-
Susan G. Williams — Introduction to symbolic dynamics [ MR 2078843 ]
-
Brian Marcus — Combining modulation codes and error correcting codes [ MR 2078844 ]
-
Paul Blanchard, Robert L. Devaney and Linda Keen — Complex dynamics and symbolic dynamics [ MR 2078845 ]
-
Douglas Lind — Multi-dimensional symbolic dynamics [ MR 2078846 ]
-
E. Arthur Robinson, Jr. — Symbolic dynamics and tilings of $\mathbb {R}^d$ [ MR 2078847 ]
-
J. B. Wagoner — Strong shift equivalence theory [ MR 2078848 ]
