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Combinatorial patterns for maps of the interval


About this Title

Michał Misiurewicz and Zbigniew Nitecki

Publication: Memoirs of the American Mathematical Society
Publication Year 1991: Volume 94, Number 456
ISBNs: 978-0-8218-2513-6 (print); 978-1-4704-0882-4 (online)
DOI: http://dx.doi.org/10.1090/memo/0456
MathSciNet review: 1086562
MSC: Primary 58F08; Secondary 26A18, 28D99

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Table of Contents


Chapters

  • 0. Introduction
  • 1. Adjusted maps
  • 2. Equivalence and essential patterns
  • 3. Reductions and extensions of patterns
  • 4. Irreducible patterns and Markov graphs
  • 5. Horseshoe patterns and fold type
  • 6. Extensions of cycles
  • 7. Combinatorial shadowing
  • 8. Transitive patterns
  • 9. Representatives of cycles
  • 10. Forcing and degree
  • 11. Entropy estimates