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An Introduction to Symbolic Dynamics and Coding: Cambridge Mathematical Library

Autor Douglas Lind, Brian Marcus
en Limba Engleză Paperback – 20 ian 2021
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.
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Specificații

ISBN-13: 9781108820288
ISBN-10: 110882028X
Pagini: 566
Dimensiuni: 151 x 228 x 30 mm
Greutate: 0.82 kg
Ediția:2Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Mathematical Library

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

Elementary introduction to symbolic dynamics, updated to describe the main advances in the subject since the original publication in 1995.