Topological entropy and periods of graph maps

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Title:	Topological entropy and periods of graph maps
Author:	Llibre, Jaume; Saghin, Radu
Abstract:	Agraïments: The second author has been supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality.
Abstract:	We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and all their branching points are fixed. As a corollary we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal.
Subject(s):	-Graph maps -Periodic points -Periods -Topological entropy
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150558