Equilibrium states for geodesic flows without focal points

：陈栋（美国宾夕法尼亚州立大学）
：2022-06-01 20:30
：腾讯会议ID：455502384（无密码）

报告人：陈栋（美国宾夕法尼亚州立大学）

时  间：6月1日晚上20:30

地  点：腾讯会议ID：455502384（无密码）

内容摘要:

The geodesic flow over a closed negatively curved manifold is Anosov, thus any Hölder potential has a unique equilibrium state. However, it is much less known for non-uniformly hyperbolic geodesic flows. Knieper proved the uniqueness of the measure of maximal entropy for the geodesic flow on compact rank 1 non-positively curved manifolds, and it was extended by Burns, Climenhaga, Fisher, and Thompson to the uniqueness of the equilibrium states for a large class of non-zero potentials with pressure gap. In this talk, I will discuss related uniqueness results for geodesic flows without focal points, and some recent results regarding potentials with pressure gap. This work is joint with Lien-Yung Kao and Kiho Park.

个人简介：

陈栋，美国宾夕法尼亚州立大学研究助理教授。2017年于美国宾夕法尼亚州立大学取得数学博士学位，随后在俄亥俄州立大学数学系担任访问助理教授。主要从事动力系统与几何交叉领域的研究工作，研究成果发表在Advances in mathematics, Communications in Contemporary Mathematics, Journal of Modern Dynamics, Nonlinearity等杂志。

 

联系人：吴伟胜