Symbolic extensions for 3-dimensional diffeomorphisms

David Burguet; Gang Liao

doi:10.1007/s11854-021-0185-0

Symbolic extensions for 3-dimensional diffeomorphisms

David Burguet
, Gang Liao

École Polytechnique

Soochow University

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

Résumé

We prove that every C^r diffeomorphism with r > 1 on a three-dimensional manifold admits symbolic extensions, i.e., topological extensions which are subshifts over a finite alphabet. This answers positively a conjecture of Downarowicz and Newhouse in dimension three.

langue originale	Anglais
Pages (de - à)	381-400
Nombre de pages	20
journal	Journal d'Analyse Mathematique
Volume	145
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s11854-021-0185-0
état	Publié - 1 déc. 2021

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10.1007/s11854-021-0185-0

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Symbolic extensions for 3-dimensional diffeomorphisms

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