MATHEMATICS COLLOQUIUM

 WHEN:
On Thursday, November 7, 2002 at 2:30PM

WHERE:
Durham Science Center, Room 255

WHAT:

Renming Song
Department of Mathematics, University of Illinois at Urbana-Champaign

will give a talk on

Abstract:
One of the most basic and most important classes of Markov processes is the symmetric stable process. Symmetric stable processes are widely used in various physical and economic systems. Although a lot is known about symmetric stable processes and their potential theory, little was known about the counterparts to some of the deep results for Brownian motion, such as sharp estimates on Green functions and Poisson kernels of bounded domains. In this talk, some of the recent results in the study of symmetric stable processes will be presented.

About the speaker:
Dr. Renming Song received his PhD in Mathematics in 1993 from the University of Florida. Then he worked at Math Department of Northwestern University as a visiting assistant professor for one year and at the Math Department of the University of Michigan as a visiting assistant professor for three years. He joined the Math Department of the University of Illinois at Urbana-Champaign as a tenure-track assistant professor in 1997. He is the author or co-author of more than 30 journal papers. His research interests are Markov processes, stochastic analysis, and their applications in analysis and PDE's.