eBook ISBN: | 978-1-4704-0125-2 |
Product Code: | MEMO/114/546.E |
List Price: | $52.00 |
MAA Member Price: | $46.80 |
AMS Member Price: | $31.20 |
eBook ISBN: | 978-1-4704-0125-2 |
Product Code: | MEMO/114/546.E |
List Price: | $52.00 |
MAA Member Price: | $46.80 |
AMS Member Price: | $31.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 114; 1995; 215 ppMSC: Primary 54; Secondary 58
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.
ReadershipSpecialists in symbolic dynamics, nonspecialists interested in symbolic dynamics, and those interested in analysis of the dynamical behavior of cellular automata.
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Table of Contents
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Chapters
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0. Introduction
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1. Preliminaries
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2. Textile systems
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3. Resolving textile systems
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4. Sofic textile systems
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5. Topological conjugacy between sofic systems
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6. LR textile systems
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7. Resolvable textile systems
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8. Essentially LR automorphisms
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9. Similarity
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10. Examples
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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 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.
-
Chapters
-
0. Introduction
-
1. Preliminaries
-
2. Textile systems
-
3. Resolving textile systems
-
4. Sofic textile systems
-
5. Topological conjugacy between sofic systems
-
6. LR textile systems
-
7. Resolvable textile systems
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8. Essentially LR automorphisms
-
9. Similarity
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10. Examples