Maximizing entropy of cycles on trees

Lluis Alseda; David Juher; Deborah M. King; Francesc Manosas

doi:https://doi.org/10.3934/dcds.2013.33.3237

Maximizing entropy of cycles on trees

Lluis Alseda, David Juher, Deborah M. King, Francesc Manosas

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	3237-3276
Journal	Discrete and Continuous Dynamical Systems
Volume	33
DOIs	https://doi.org/10.3934/dcds.2013.33.3237
Publication status	Published - 1 Aug 2013

Keywords

Patterns
Topological entropy
Tree maps

Access to Document

https://doi.org/10.3934/dcds.2013.33.3237

https://ddd.uab.cat/record/150638

Cite this

@article{4527d956346543ae93470b36ef7ab8eb,

title = "Maximizing entropy of cycles on trees",

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.",

keywords = "Patterns, Topological entropy, Tree maps",

author = "Lluis Alseda and David Juher and King, {Deborah M.} and Francesc Manosas",

year = "2013",

month = aug,

day = "1",

doi = "https://doi.org/10.3934/dcds.2013.33.3237",

language = "English",

volume = "33",

pages = "3237--3276",

}

TY - JOUR

T1 - Maximizing entropy of cycles on trees

AU - Alseda, Lluis

AU - Juher, David

AU - King, Deborah M.

AU - Manosas, Francesc

PY - 2013/8/1

Y1 - 2013/8/1

N2 - 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.

AB - 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.

KW - Patterns

KW - Topological entropy

KW - Tree maps

U2 - https://doi.org/10.3934/dcds.2013.33.3237

DO - https://doi.org/10.3934/dcds.2013.33.3237

M3 - Article

VL - 33

SP - 3237

EP - 3276

ER -

Maximizing entropy of cycles on trees

Abstract

Keywords

Access to Document

Fingerprint

Cite this