18 citations · 142 across the 46 of their papers we have counts for
54 papers
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 ,…
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…
On the nonlinear Poincaré flow
Sylvain Crovisier, Dawei Yang
We develop a tool in order to analyse the dynamics of differentiable flows with singularities. It provides an abstract model for the local dynamics that can be used in order to con…
Diffusion rate in non-generic directions in the wind-tree model
Sylvain Crovisier, Pascal Hubert, Erwan Lanneau +1
We show that any real number in [0,1) is a diffusion rate for the wind-tree model with rational parameters. We will also provide a criterion in order to describe the shape of the L…
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows
Jérôme Buzzi, Sylvain Crovisier, Yuri Lima
We construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each , we code a set of full measure for every invariant probability measur…
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…