Dong Chen

activity

20132022

most citedProperties of equilibrium states for geodesic flows over manifolds without focal points

20 citations · 34 across the 11 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019★ 20 cited

Properties of equilibrium states for geodesic flows over manifolds without focal points

Dong Chen, Lien-Yung Kao, Kiho Park

We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique for Hölder potentials satisfying the pressure gap condition. In addition, we provid…

math.DS2019

On the $C^{\infty}$ closing lemma for Hamiltonian flows on symplectic $4$ -manifolds

Dong Chen

The main result in this paper is the $C^{\infty}$ closing lemma for a large family of Hamiltonian flows on $4$ -dimensional symplectic manifolds, which includes classical Hamiltonia…

math.DS2019

Finsler perturbation with nondense geodesics with irrational directions

Dmitri Burago, Dong Chen

We show that given any Liouville direction and flat Finsler torus, one can make a $C^{\infty}$ -small perturbation on an arbitrarily small disc to get a nondense geodesic in the giv…

Properties of equilibrium states for geodesic flows over manifolds without focal points

On the C∞ closing lemma for Hamiltonian flows on symplectic 4-manifolds

Finsler perturbation with nondense geodesics with irrational directions

On the $C^{\infty}$ closing lemma for Hamiltonian flows on symplectic $4$ -manifolds