Textile systems for endomorphisms and automorphisms of the shift
著者
書誌事項
Textile systems for endomorphisms and automorphisms of the shift
（Memoirs of the American Mathematical Society, no. 546）
American Mathematical Society, 1995
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注記
"March 1995, volume 114, number 546 (second of 4 numbers)"
Includes bibliographical references (p. 205-207) and index
内容説明・目次
内容説明
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.
目次
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.
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