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Probability and Computational Finance Seminar
Shkolnikov Mykyahlo
Department of Statistics, University of California, Berkeley.
Title: Intertwinings, wave equations and growth models

Abstract: We will discuss a general theory of intertwined diffusion processes of any dimension. Intertwined processes arise in many different contexts in probability theory, most notably in the study of random matrices, random polymers and path decompositions of Brownian motion. Recently, they turned out to be also closely related to hyperbolic partial differential equations, symmetric polynomials and the corresponding random growth models. The talk will be devoted to these recent developments which also shed new light on some beautiful old examples of intertwinings. Based on joint works with Vadim Gorin and Soumik Pal.

Date: Monday, September 16, 2013
Time: 5:00 pm
Location: Scaife Hall 219
Submitted by:  Steve Shreve