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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    A Paperback by Henk Bruin

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      Publisher: American Mathematical Society
      Publication Date: 1/15/2023 12:04:00 AM
      ISBN13: 9781470472191, 978-1470472191
      ISBN10: 1470472198
      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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