Symbolic extensions and continuity properties of the entropy

David Burguet

doi:10.1007/s00013-011-0249-y

Symbolic extensions and continuity properties of the entropy

David Burguet

ENS Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this short note we give a new presentation of the entropy theory of symbolic extensions. Then we deduce from the main results of this theory some continuity properties of the entropy regarding the smoothness of the dynamical system. We also prove that generic continuous interval maps have nowhere continuous entropy function.

langue originale	Anglais
Pages (de - à)	387-400
Nombre de pages	14
journal	Archiv der Mathematik
Volume	96
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s00013-011-0249-y
état	Publié - 1 avr. 2011
Modification externe	Oui

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10.1007/s00013-011-0249-y

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KW - Entropy structure

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Symbolic extensions and continuity properties of the entropy

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