Stochastic stability of non-uniformly expanding circle map

：王天宇（上海数学中心）
：2023-04-25 15:00
：海韵园数理大楼天元会议室686报告厅

报告人：王天宇（上海数学中心）

时  间：2023年4月25日下午15:00

地  点：海韵园数理大楼天元会议室686报告厅

内容摘要:

In this talk，we mainly discuss a type of measure-theoretic stability in dynamical system. Precisely, we focus on non-uniformly expanding circle maps whose neutral behavior lies in a unique Hőlder type fixed point, with exponent being potentially distinct on different sides. We show that under absolutely continuous perturbation, the respective stationary measure converges to the SRB measure in a strong sense as the noise goes down to zero. The talk is based on a recent joint work with Professor Weixiao Shen.

个人简介：

王天宇，上海数学中心博士后，主要从事微分动力系统中非一致双曲系统的平衡态的相关性质的研究。博士毕业于美国俄亥俄州立大学，师从Daniel Thompson教授。在包括《Ergodic Theory and Dynamical Systems》与《Communications in Mathematical Physics》等杂志上发表文章数篇。博士后期间与沈维孝教授合作开展关于非一致扩张映射中SRB测度在扰动下的稳定性的研究。

 

联系人：吴伟胜