Mathematics - Colloquium
Tuesday, September 22, 2009
11:00 AM-12:00 PM
ABSTRACT: We intend to present relations between two classes of measure-valued Markov processes (superprocesses and processes with discrete branching) and nonlinear operators of the form Lu + Phi(u), where L is a second order elliptic differential operator and Phi is a "branching mechanism"; in particular we may take Phi(u)= u^2. We follow the pioneering works of M. Nagasawa, S. Watanabe, M.L. Silverstein, and the approaches of E.B. Dynkin and P. Fitzsimmons. We shall develop potential theoretical methods in the construction of the measure-valued branching processes.
Suggested Audiences: Adult, College
E-mail:
ma-chair@wpi.edu
Last Modified: August 13, 2009 at 3:14 PM