An Introduction to Symbolic Dynamics and Coding

An Introduction to Symbolic Dynamics and Coding

by Douglas Lind, Brian Marcus
     
 

ISBN-10: 0521551242

ISBN-13: 9780521551243

Pub. Date: 05/28/2003

Publisher: Cambridge University Press

Although it originated as a method to study general dynamical systems, symbolic dynamics is useful in coding for data storage and transmission as well as in linear algebra. Requiring only a undergraduate knowledge of linear algebra, this first general textbook includes over 500 exercises.

Overview

Although it originated as a method to study general dynamical systems, symbolic dynamics is useful in coding for data storage and transmission as well as in linear algebra. Requiring only a undergraduate knowledge of linear algebra, this first general textbook includes over 500 exercises.

Product Details

ISBN-13:
9780521551243
Publisher:
Cambridge University Press
Publication date:
05/28/2003
Pages:
516
Product dimensions:
6.10(w) x 9.10(h) x 1.50(d)

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 topological conjugacy; 10. Embeddings and factorings; 11. Realization; 12. Equal entropy factors; 13. Guide to advanced topics.

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