Student Probability/PDE Seminar: A Semiclassical Approach to the Kramers–Smoluchowski Equation

Seminar | April 7 | 2:10-3:30 p.m. | 891 Evans Hall

 Maciej Zworski, UC Berkeley

 Department of Mathematics

We consider the Kramers–Smoluchowski equation at a low temperature regime and show how semiclassical techniques developed for the study of the Witten Laplacian and Fokker–Planck equation provide quantitative results. I will give complete proofs in the one dimensional case and explain how recent work of Laurent Michel gives results in higher dimensions. One purpose is to provide a simple introduction to semiclassical methods in this subject.