Memoirs of the American Mathematical Society 1995; 215 pp; softcover Volume: 114 ISBN10: 0821826069 ISBN13: 9780821826065 List Price: US$49 Individual Members: US$29.40 Institutional Members: US$39.20 Order Code: MEMO/114/546
 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 onedimensional cellular automata as a special case. In this work, Nasu introduces the notion of a textile system, which is useful in analyzing the dynamical systems defined by endomorphisms and automorphisms of topological Markov shifts, including onesided 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. Readership Specialists in symbolic dynamics, nonspecialists interested in symbolic dynamics, and those interested in analysis of the dynamical behavior of cellular automata. Table of Contents  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
