Description

Book Synopsis
Introduces symbolic dynamics from a perspective of topological dynamical systems. After introducing symbolic and topological dynamics, the core of the book consists of discussions of subshifts of positive entropy, of zero entropy, other non-shift minimal action on the Cantor set, and the ergodic properties of these systems.

Table of Contents
  • First examples and general properties of subshifts
  • Topological dynamics
  • Subshifts of positive entropy
  • Subshifts of zero entropy
  • Further minimal Cantor systems
  • Methods from ergodic theory
  • Automata and linguistic complexity
  • Miscellaneous background topics
  • Solutions to exercises
  • Bibliography
  • Index

Topological and Ergodic Theory of Symbolic

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Order before 4pm tomorrow for delivery by Tue 20 Jan 2026.

A Hardback by Henk Bruin

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    View other formats and editions of Topological and Ergodic Theory of Symbolic by Henk Bruin

    Publisher: American Mathematical Society
    Publication Date: 1/19/2023 12:02:00 AM
    ISBN13: 9781470469849, 978-1470469849
    ISBN10: 1470469847
    Also in:
    Combinatorics and graph theory Discrete mathematics

    Description

    Book Synopsis
    Introduces symbolic dynamics from a perspective of topological dynamical systems. After introducing symbolic and topological dynamics, the core of the book consists of discussions of subshifts of positive entropy, of zero entropy, other non-shift minimal action on the Cantor set, and the ergodic properties of these systems.

    Table of Contents
    • First examples and general properties of subshifts
    • Topological dynamics
    • Subshifts of positive entropy
    • Subshifts of zero entropy
    • Further minimal Cantor systems
    • Methods from ergodic theory
    • Automata and linguistic complexity
    • Miscellaneous background topics
    • Solutions to exercises
    • Bibliography
    • Index

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