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Title:
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Maximizing entropy of cycles on trees
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Author:
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Alsedà i Soler, Lluís; Juher, David; King, Deborah M.; Mañosas, Francesc
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Other authors:
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Ministerio de Ciencia e Innovación (Espanya); Ministerio de Ciencia y Tecnología (Espanya) |
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Abstract:
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In this paper we give a partial characterization of the periodic tree patterns of maximum entropy for a given period. More precisely, we prove that each periodic pattern with maximal entropy is irreducible (has no block structures) and simplicial (any vertex belongs to the periodic orbit). Moreover, we also prove that it is maximodal in the sense that every point of the periodic orbit is a turning point |
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Abstract:
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The authors have been partially supported by the MEC grant numbers MTM2008-01486 and MTM2011-26995-C02-01 |
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Subject(s):
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-Entropia topològica
-Topological entropy
-Arbres (Teoria de grafs)
-Trees (Graph theory) |
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Rights:
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Tots els drets reservats
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Document type:
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Article
Article - Accepted version
peer-reviewed |
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Published by:
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American Institute of Mathematical Sciences (AIMS)
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