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Memoirs of the American Mathematical Society
1995; 215 pp; softcover
List Price: US$49
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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 one-dimensional 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 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.
Specialists in symbolic dynamics, nonspecialists interested in symbolic dynamics, and those interested in analysis of the dynamical behavior of cellular automata.
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