Item


On the preservation of combinatorial types for maps on trees

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 ƒ 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 be homeomorphic) are essentially preserved

Association des Annales de l’Institut Fourier

Author: Alsedà, Lluís
Juher, David
Mumbrú i Rodríguez, Pere
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 ƒ 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 be homeomorphic) are essentially preserved
Document access: http://hdl.handle.net/2072/227223
Language: eng
Publisher: Association des Annales de l’Institut Fourier
Rights: Tots els drets reservats
Subject: Òrbites
Orbits
Title: On the preservation of combinatorial types for maps on trees
Type: info:eu-repo/semantics/article
Repository: Recercat

Subjects

Authors