Technion, IEM faculty - Seminar in Probability and Stochastic Processes
Speaker: Julien Berestycki, Universite Pierre et Marie Curie.
Title:   Effect of selection on genealogies
Date:    13/12/2011
Time:    11:30
Place:   Hashmal-861
Abstract:  <>
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Let us consider a model in which particles move in space and branch
independently of one another but on which a selection mechanism is
acting to keep the population size essentially constant. Several
such models have recently been investigated by physicists (Brunet,
Derrida et al.). Non-rigorous arguments led them to formulate several
remarkable predictions. In particular they argued that the asymptotic
genealogy of the particles should be a universal object: the
Bolthausen-Sznitman coalescent. I will give an overview of some of
those conjectures as well as some recent related rigorous results.
(Based on joint work with N. Berestycki and J. Schweinsberg).
Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <> 
Announcement from:  <>