Maximizing entropy of cycles on trees

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To access the full text documents, please follow this link: http://hdl.handle.net/10256/15134

dc.contributor	Ministerio de Ciencia e Innovación (Espanya)
dc.contributor	Ministerio de Ciencia y Tecnología (Espanya)
dc.contributor.author	Alsedà i Soler, Lluís
dc.contributor.author	Juher, David
dc.contributor.author	King, Deborah M.
dc.contributor.author	Mañosas, Francesc
dc.date	2018-03-13T07:57:14Z
dc.date	2018-03-13T07:57:14Z
dc.date	2013
dc.identifier.citation	1078-0947 (versió paper)
dc.identifier.citation	1553-5231 (versió electrònica)
dc.identifier.citation	017630
dc.identifier.uri	http://hdl.handle.net/10256/15134
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	American Institute of Mathematical Sciences (AIMS)
dc.relation	https://doi.org/10.3934/dcds.2013.33.3237
dc.relation	MICINN/PN 2012-2015/MTM2011-26995-C02-01
dc.relation	MICYT/PN 2008-2010/MTM 2008-01486
dc.relation	Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2013.33.3237
dc.relation	© Discrete and Continuous Dynamical Systems- Series A, 2013, vol. 33, núm. 8, p. 3237-3276
dc.relation	Articles publicats (D-IMA)
dc.rights	Tots els drets reservats
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Entropia topològica
dc.subject	Topological entropy
dc.subject	Arbres (Teoria de grafs)
dc.subject	Trees (Graph theory)
dc.title	Maximizing entropy of cycles on trees
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.type	peer-reviewed
dc.description.abstract	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
dc.description.abstract	The authors have been partially supported by the MEC grant numbers MTM2008-01486 and MTM2011-26995-C02-01

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