Transient Dynamics and Quasi-Stationary Distributions

发布时间:2024-04-19 点击次数:

标题:Transient Dynamics and Quasi-Stationary Distributions






  There are natural connections between transient dynamics (such as transient chaos and transient oscillations) of a complex system and a quasi-stationary distribution (QSD) of the reduced stochastic system. QSD are those almost invariant to a diffusion process over exponentially long time, representing important transient stochastic dynamics. They arise frequently in applications especially in chemical reactions and population systems admitting extinction states. This talk will present some rigorous results on the existence, uniqueness, concentration, and convergence of QSDs along with their connections to the spectrum of the Fokker-Planck operator.


  易英飞,加拿大阿尔伯塔大学Killiam讲席教授,吉林大学柔性引进人才特聘教授,美国佐治亚理工学院兼职教授,JDDE杂志主编、JDE等杂志的编委,研究方向为动力系统。主要研究成果发表在Comm. Pure Appl. Math, Comm. Math. Phy., Trans. Amer. Math. Soc., J. Func. Anal., Ann. Henri Poincaré等高水平学术期刊,取得了一系列有意义的成果,是动力系统领域的知名学者。