Résumés des conférences (Dijon 2010)

Some advances on partially hyperbolic and non-uniformly hyperbolic dynamics

par Jana RODRIGUEZ-HERTZ (IMERL, Montevideo).

Résumé:

We review some recent advances on partially hyperbolic and non-uniformly hyperbolic dynamics. On one hand, we shall focus on their statistical properties, such as ergodicity and stable ergodicity of diffeomorphisms having these type of dynamics (or a combination of both), Lyapunov exponents, etc. On the other hand, we shall focus on some of their topological or geometrical properties, such as integrability of the center bundle, dynamical coherence, accessibility, presence of invariant subdynamics, etc.

Other topics, such as existence of maximal entropy measures will be also covered.

Format prévu: 3 heures