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Textile Systems for Endomorphisms and Automorphisms of the Shift
 
Textile Systems for Endomorphisms and Automorphisms of the Shift
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
Textile Systems for Endomorphisms and Automorphisms of the Shift
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Textile Systems for Endomorphisms and Automorphisms of the Shift
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1141995; 215 pp
    MSC: 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.

    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
     
     
    • 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
    • 8. Essentially LR automorphisms
    • 9. Similarity
    • 10. Examples
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1141995; 215 pp
MSC: 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.

Readership

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
  • 8. Essentially LR automorphisms
  • 9. Similarity
  • 10. Examples
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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