Student Probability/PDE Seminar: Refinement of Large-Deviation Principle via Poisson Equations

Seminar | February 15 | 2:10-3:30 p.m. | 891 Evans Hall

 Insuk Seo, Seoul National University

 Department of Mathematics

In this presentation, a classic model known as "small random perturbation of dynamical systems" studied by Freidlin and Wentzell in 1960s is revisited. Freidlin and Wentzell deduced a large-deviation principle for this model, and this result was considerably refined in 2004 by Bovier et. al. In this presentation, we discuss a further refinement of this result via a new technology based on the analysis of suitable Poisson equations. This talk is based on the joint work with F. Rezakhanlou and C. Landim.