UW Probability Seminar
Next Seminar:
Time: Monday February 8, 2010 at 2:30 pm.
Location: MEB 235
Speaker: Yanxia Ren (Peking University, China)
Title: Traveling Wave Solutions of Nonlinear Differential Equations
Associated to Super-Brownian Motions
Abstract:
We consider the problem of existences, uniqueness, and asymptotics of the
traveling wave solution of a parabolic nonlinear differential equation associated
to super-Brownian motion with general branching mechanism. Probabilistic methods
are successfully used to solve the basic problems about the traveling wave
solutions of nonlinear differential equations associated to branching Brownian
motion (see, for example, Kyprianou Ann. I. H. Poincoi\'{e}-PR, 2004) and
references therein).
We construct analogous arguments for super-Brownian motion
using Dynkin's exit measures, martingales and spine decomposition of
super-Brownian motion after a martingale change of measure.
The talk is based on a joint work in progress with A.E. Kyprianou, R.-L. Liu and
A. Murillo-Salas.
Archive of previous talks
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