Apparaît dans la collection : 2024 - T2 - WS2 - Group actions with hyperbolicity and measure rigidity

The SH-property for unstable laminations is a topological analog to positive center exponents for u-Gibbs measures. I plan to explain some abundance results for this property in the context of volume preserving partially hyperbolic diffeomorphisms with one-dimensional center and how this implies results on rigidity of u-Gibbs measures in dimension 3. This is part of a joint project in many combinations with A. Avila, S. Crovisier, A. Eskin, A. Wilkinson and Z. Zhang.