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Finitary measures for subshifts of finite type and sofic systems


About this Title

Bruce Kitchens and Selim Tuncel

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 58, Number 338
ISBNs: 978-0-8218-2340-8 (print); 978-1-4704-0751-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0338
MathSciNet review: 818917
MSC (1991): Primary 58F11; Secondary 28D99

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Table of Contents


Chapters

  • Introduction
  • 1. Sofic systems and factor maps
  • 2. Semi-group measures
  • 3. The structure of defining matrices
  • 4. Examples
  • 5. Homomorphisms of semi-groups
  • 6. Equilibrium states of locally constant functions
  • 7. Thermodynamic properties
  • 8. The weight condition
  • 9. Characterization by conditional measures
  • 10. Minimal covers and minimal semi-groups