Maximizing entropy of cycles on trees
Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Juher, David (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)
King, Deborah M. (University of Melbourne. Departament of Mathematics and Statistics)
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	In this paper we give a partial characterization of the periodic tree patterns of maximum entropy. More precisely, we prove that each periodic pattern with maximal entropy is irreducible and simplicial. Moreover, it is also maximodal in the sense that for every monotone representative of the pattern every periodic point is a "turning point".
Grants:	Ministerio de Educación y Ciencia MTM2008-01486 Ministerio de Educación y Ciencia MTM2011-26995-C02-0
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Tree maps ; Patterns ; Topological entropy
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 8 (2013) , p. 3237-3276, ISSN 1553-5231

DOI: 10.3934/dcds.2013.33.3237

Postprint 38 p, 705.8 KB

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