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Symbolic Dynamics and its Applications
Edited by: Susan G. Williams, University of South Alabama, Mobile, AL
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Proceedings of Symposia in Applied Mathematics
2004; 156 pp; hardcover
Volume: 60
ISBN-10: 0-8218-3157-7
ISBN-13: 978-0-8218-3157-1
List Price: US$43
Member Price: US$34.40
Order Code: PSAPM/60
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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.

Readership

Graduate students and research mathematicians interested in symbolic dynamics and its applications.

Table of Contents

  • S. G. Williams -- Introduction to symbolic dynamics
  • B. Marcus -- Combining modulation codes and error correcting codes
  • P. Blanchard, R. L. Devaney, and L. Keen -- Complex dynamics and symbolic dynamics
  • D. Lind -- Multi-dimensional symbolic dynamics
  • E. A. Robinson, Jr. -- Symbolic dynamics and tilings of \(\mathbb{R}^d\)
  • J. B. Wagoner -- Strong shift equivalence theory
  • Index
  • Barcode page
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