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Minimizing topological entropy for continuous maps on graphs

Published online by Cambridge University Press:  01 December 2000

LL. ALSEDÀ ,
F. MAÑOSAS  and
P. MUMBRÚ
LL. ALSEDÀ
Affiliation:
Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Barcelona, Spain (e-mail: alseda@mat.uab.es, manyosas@mat.uab.es)
F. MAÑOSAS
Affiliation:
Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Barcelona, Spain (e-mail: alseda@mat.uab.es, manyosas@mat.uab.es)
P. MUMBRÚ
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain
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Abstract

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We study the existence of models with minimal topological entropy among the class of all continuous maps from a given graph to itself with a fixed behavior on a given finite invariant set.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 6 , December 2000 , pp. 1559 - 1576
Copyright
© 2000 Cambridge University Press