On the preservation of combinatorial types for maps on trees

Lluís Alsedà, David Juher, Pere Mumbrú

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

We study the preservation of the periodic orbits of an A-monotone tree map f: T → T in the class of all tree maps g: S → S having a cycle with the same pattern as A. We prove that there is a period-preserving injective map from the set of (almost all) periodic orbits of f into the set of periodic orbits of each map in the class. Moreover, the relative positions of the corresponding orbits in the trees T and S (which need not he homeomorphic) are essentially preserved.
Original languageEnglish
JournalAnnales de l'Institut Fourier
Volume55
Issue number7
DOIs
Publication statusPublished - 1 Jan 2005

Keywords

  • Minimal dynamics
  • Tree maps

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