[Distinguished Lecture]——Long-Time Influence of Small Perturbations
报告人:Mark Freidlin (University of Maryland)
时间:2018-09-19 15:00-16:00
地点:Room 77201, Jingchunyuan 78, BICMR
I will consider deterministic and stochastic perturbations of various systems.
In a broad class of problems, the limiting long-time behavior of the perturbed system, in an appropriate
time scale, can be described as a motion on the simplex of invariant probability measures of the
non-perturbed system. The motion on the simplex is defined either by limit theorems for large deviations,
by a modified averaging principle, or by a diffusion approximation.
To be specific, I will, mostly, speak on perturbations of an oscillator with one degree of freedom.