3 papers
math.DS2026
On the Density of Periodic Measures for Star Vector Fields
Qimai Sun, Guangwa Wang, Wanlou Wu
In this paper, we prove that every ergodic hyperbolic invariant measure of a star vector field can be approximated by periodic measures in weak topology. This extends a c…
math.DS2025
The Lyapunov Exponents of Hyperbolic Measures for Vector Fields with Dominated Splitting
Wanlou Wu
In this paper, we prove that for every vector field preserving an ergodic hyperbolic invariant measure which is not supported on singularities, if the Oseledec splitting of t…
math.DS2025
The Lyapunov Exponents of Hyperbolic Measures for Star Vector Fields on Three-dimensional Manifolds
Yuansheng Lu, Wanlou Wu
In this paper, we proved that for every star vector fields on three-dimensional manifolds, every ergodic hyperbolic invariant measure which is not supported on singularities…