Quasi-Stationary Distributions

主讲人：易英飞 吉林大学教授

时间：2023年5月9日14：30

地点：腾讯会议 926 643 992

举办单位：数理学院

主讲人介绍：易英飞教授，吉林大学柔性引进人才特聘教授，杰出青年基金（B）获得者, 阿尔伯塔大学 Killiam 讲座教授，佐治亚理工学院兼职教授，Journal of Dynamics and Differential Equations 杂志主编、Journal of Differential Equations等杂志的编委，研究方向为动力系统、复杂系统等动力学基础理论， 在哈密顿动力学、 斜积流、随机动力系统和瞬态动力学等领域均作出突出的贡献。在国际期刊发表文章 80 余篇，引用 2000余次。

内容介绍：Quasi-stationary distributions (QSDs), representing transient states of a diffusion process admitting an extinction state, arise frequently in applications especially in chemical reactions and population dynamics, but there are only limited rigorous studies on the subject. This talk will present some new results on the existence, uniqueness, and convergence of QSDs along with their connections to the spectrum of the Fokker-Planck operator. Applications to cooperative, competitive, and predator-prey Lotka-Volterra systems will also be discussed.