An Introduction to Symbolic Dynamics and Coding
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An Introduction to Symbolic Dynamics and Coding: (Cambridge Mathematical Library)

An Introduction to Symbolic Dynamics and Coding: (Cambridge Mathematical Library)


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About the Book

Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.

Table of Contents:
1. Shift spaces; 2. Shifts of finite type; 3. Sofic shifts; 4. Entropy; 5. Finite-state codes; 6. Shifts as dynamical systems; 7. Conjugacy; 8. Finite-to-one codes and finite equivalence; 9. Degrees of codes and almost conjugacy; 10. Embeddings and factor codes; 11. Realization; 12. Equal entropy factors; 13. Guide to advanced topics; Addendum for the second edition; Bibliography; Addendum bibliography; Notation index; Index.

About the Author :
Douglas Lind is Professor Emeritus of Mathematics at the University of Washington. He was department chair, is an Inaugural Fellow of the American Mathematical Society, and served in many governance roles for the Mathematical Sciences Research Institute, including chairing the committee that designed the 2006 addition. Brian Marcus is Professor of Mathematics at the University of British Columbia. He shared the 1993 Leonard Abraham Prize Paper award of the IEEE Communications Society. He is currently the UBC Site Director of the Pacific Institute for the Mathematical Sciences (PIMS) and is a Fellow of the AMS and IEEE.


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Product Details
  • ISBN-13: 9781108901963
  • Publisher: Cambridge University Press (Virtual Publishing)
  • Publisher Imprint: Cambridge University Press (Virtual Publishing)
  • Edition: Revised edition
  • Series Title: Cambridge Mathematical Library
  • ISBN-10: 1108901964
  • Publisher Date: 13 Jan 2021
  • Binding: Digital download and online
  • Language: English


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