3 papers
math.DS2026
The Bernoulli property of Sinai-Ruelle-Bowen measures for flows
Chiyi Luo, Dawei Yang
We prove that for flows whose generating vector fields may have singularities, every weakly mixing hyperbolic SRB measure is Bernoullian.
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.DS2023
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…