Talk by Kenneth Hochberg (Bar-Ilan University, Israel)
Date and Time: Thursday, February 16, 2006, 10:00 AM in AP&M 6218.
Title: Hierarchically structured branching-diffusing systems
Abstract:
The two-level superprocess is the diffusion limit of a two-level branching
Brownian motion, where particles are grouped into superparticles which
themselves duplicate or vanish according to a branching dynamic, in
addition to the motion and branching of the individual particles
themselves. We define three classes of initial states for two-level
superprocesses and describe the corresponding patterns of longtime
behavior, including two very different types of equilibria. Specifically,
we show that two of these classes of initial states lead to longtime
behavioral patterns in high dimensions that do not exist for ordinary,
single-level branching systems or superprocesses. (Joint work with
A.Greven.)