Title:
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On the preservation of combinatorial types for maps on trees
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Author:
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Alsedà, Lluís; Juher, David; Mumbrú i Rodríguez, Pere
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Abstract:
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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 |
Publication date:
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2014-03-24 |
Subject(s):
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-Òrbites -Orbits |
Rights:
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Tots els drets reservats |
Document type:
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Article Article - Published version |
Published by:
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Association des Annales de l'Institut Fourier
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