Shaobo Gan

activity

20242026

collaborators

Showing 2024Show all

2 papers · 1 filter

math.DS2024

Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics

Shaobo Gan, Ruibin Xi, Jiagang Yang +1

Let $X^{r} (M)$ be the set of $C^{r}$ vector fields on a boundaryless compact Riemannian manifold $M$ . Given a vector field $X_{0} \in X^{r} (M)$ and a compact invariant se…

math.DS2024

Uniformly distributed periodic orbits of endomorphisms on $n$ -tori

Daohua Yu, Shaobo Gan

We prove that any ergodic endomorphism on torus admits a sequence of periodic orbits uniformly distributed in the metric sense. As a corollary, an endomorphism on torus is ergodic…

Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics

Uniformly distributed periodic orbits of endomorphisms on n-tori

Uniformly distributed periodic orbits of endomorphisms on $n$ -tori