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Topological entropy and equivalence of dynamical systems

About this Title

Roy L. Adler and Brian Marcus

Publication: Memoirs of the American Mathematical Society
Publication Year: 1979; Volume 20, Number 219
ISBNs: 978-0-8218-2219-7 (print); 978-1-4704-0549-6 (online)
DOI: https://doi.org/10.1090/memo/0219
MathSciNet review: 533691
MSC: Primary 28D20; Secondary 54H20

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Dynamical systems and their equivalence relations
  • 3. Symbolic systems
  • 4. Main theorem
  • 5. The tableau
  • 6. An example
  • 7. Filling in a tableau for matrices with nonzero trace
  • 8. Hyperbolic toral automorphisms
  • 9. Example of getting a 1-cycle
  • 10. The circles
  • 11. Proof of main theorem (aperiodic case)
  • 12. The periodic case
  • 13. Finale
  • 14. Remark in retrospect