Prochainement

Lundi 18 novembre 10:15-11:45 Yuntao Zang (Orsay)
Entropy, dimensional entropy and Lyapunov exponents

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Lieu : salle 3L8

Résumé : Let f be a C^(1+alpha) diffeomorphism on a compact manifold M, and let mu be an ergodic measure. We use a generalized Pesin’s stable manifold theorem to show an upper bound of the metric entropy of mu by a mixture between the sum of the positive Lyapunov exponents and uniform dimensional entropy on submanifolds. We also give several applications of our result.

Entropy, dimensional entropy and Lyapunov exponents  Version PDF

Passés

Lundi 4 novembre 10:15-11:45 Nils Martin Andersson  (Univ. féd. Fluminense & Orsay)
Conservative diffeomorphisms isotopic to Anosov on T^3

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Lieu : salle 3L8

Notes de dernières minutes : L’exposé aura bien lieu au bâtiment 307.

Conservative diffeomorphisms isotopic to Anosov on T^3  Version PDF

Lundi 14 octobre 10:45-12:15 Andy Hammerlindl  (Monash University, Australie)
Partially hyperbolic surface endomorphisms

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Lieu : amphi G1, bâtiment 450

Résumé : Partially hyperbolic surface endomorphisms are a family of not necessarily invertible surface maps which are associated with interesting dynamics. The dynamical behaviour of these maps is less understood than their invertible counterparts, and existing results show that they can exhibit properties not possible in the invertible setting. In this talk, I will discuss recent results regarding the classification of partially hyperbolic surface endomorphisms. We shall see that either the dynamics of such a map is in some sense similar to a linear map, or that the map falls into a special class of interesting examples. This is joint work with Layne Hall.

Partially hyperbolic surface endomorphisms  Version PDF

Lundi 14 octobre 10:15-11:45 Andy Hammerlindl  (Monash University, Australie)
Partially hyperbolic surface endomorphisms

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Lieu : salle 3L8

Résumé : Partially hyperbolic surface endomorphisms are a family of not necessarily invertible surface maps which are associated with interesting dynamics. The dynamical behaviour of these maps is less understood than their invertible counterparts, and existing results show that they can exhibit properties not possible in the invertible setting. In this talk, I will discuss recent results regarding the classification of partially hyperbolic surface endomorphisms. We shall see that either the dynamics of such a map is in some sense similar to a linear map, or that the map falls into a special class of interesting examples. This is joint work with Layne Hall.

Partially hyperbolic surface endomorphisms  Version PDF