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Contribution

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Dynamics of smooth surface diffeomorphisms: strong positive recurrence

Speakers

  • Sylvain CROVISIER

Description

The goal is to introduce and discuss the strong positive recurrence property for diffeomorphisms of a manifold. I will show that every C-infinity surface diffeomorphism with positive topological entropy satisfies this property. The proof uses results presented by Jérôme Buzzi in his talk on the continuity of the entropy and exponents. Some consequences of this property will be discussed by O. Sarig later.

Organizers

José Ferreira Alves (U. of Porto, Portugal), Yuri Lima (UFC, Brazil), Local Organiser: Stefano Luzzatto

Co-sponsors