Special Session 81: Stochastic Modeling in Biological, Physical and Social Sciences: Theory and Applications

Singularly perturbed differential operators and some stochastic analytic counterparts

Yu-Ting Chen
University of Victoria
Canada
Co-Author(s):    N/A
Abstract:
Schr\"odinger operators with delta potentials are of longstanding interest for admitting solutions expressible in closed analytic forms, and they receive renewed interest for connections to the Kardar-Parisi-Zhang equation. Along with a review of the background, the talk will discuss recent results for a standard model of these operators in 2D and its counterpart in the form of the Feynman-Kac formula.