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Textile Systems for Endomorphisms and Automorphisms of the Shift : Memoirs of the American Mathematical Society - Masakazu Nasu

Textile Systems for Endomorphisms and Automorphisms of the Shift

Memoirs of the American Mathematical Society

Paperback Published: January 1995
ISBN: 9780821826065
Number Of Pages: 215

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One of the major topics in symbolic dynamics is the analysis of the dynamical systems defined by endomorphisms and automorphisms of subshifts. This includes analysis of the dynamical behavior of one-dimensional cellular automata as a special case. In this work, Nasu introduces the notion of a textile system, which is useful in analysing the dynamical systems defined by endomorphisms and automorphisms of topological Markov shifts, including one-sided ones. The dynamical properties of automorphisms of sofic systems are also studied. Requiring few prerequisites, this work will appeal not only to specialists in symbolic dynamics but also to nonspecialists interested in symbolic dynamics and those interested in analysis of the dynamical behavior of cellular automata.

Introduction
Preliminaries Textile systems
Resolving textile systems
Sofic textile systems Topological conjugacy between sofic systems
LR textile systems Resolvable textile systems
Essentially LR automorphisms Similarity Examples
References
List of notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780821826065
ISBN-10: 0821826069
Series: Memoirs of the American Mathematical Society
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 215
Published: January 1995
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 25.4 x 18.42  x 1.27
Weight (kg): 0.41

Earn 165 Qantas Points
on this Book