3 papers
math.DS2025
Topologically stable manifolds for index- singular dominated splittings
Sylvain Crovisier, Dawei Yang
For vector fields, we study regular ergodic measures whose supports admit singular dominated splittings with one of the bundles having dimension . For such a measure ,…
math.DS2025
Minimality of Strong Foliations of Anosov and Partially Hyperbolic Diffeomorphisms
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We study the topological properties of expanding invariant foliations of diffeomorphisms, in the context of partially hyperbolic diffeomorphisms and laminations with -d…
math.DS2024
On physical measures of multi-singular hyperbolic vector fields
Sylvain Crovisier, Xiaodong Wang, Dawei Yang +1
Bonatti and da Luz have introduced the class of \emph{multi-singular hyperbolic} vector fields to characterize systems whose periodic orbits and singularities do not bifurcate unde…