18 citations · 142 across the 46 of their papers we have counts for
5 papers · 2 filters
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…
From zero to positive entropy
Sylvain Crovisier, Enrique Pujals
In the sciences in general, the phrase "route to chaos" has come to refer to a metaphor when some physical, biological, economic, or social system transitions from one exhibiting o…