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Article Dans Une Revue Journal d'analyse mathématique Année : 2021

Symbolic extensions for 3-dimensional diffeomorphisms

Gang Liao
  • Fonction : Auteur

Résumé

We prove that every $\mathcal{C}^{r}$ 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.

Dates et versions

hal-02346575 , version 1 (05-11-2019)

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David Burguet, Gang Liao. Symbolic extensions for 3-dimensional diffeomorphisms. Journal d'analyse mathématique, 2021. ⟨hal-02346575⟩
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