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:  <http://ie.technion.ac.il/seminar_files/1322738835_B.txt>
 
Or read it here:
 
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).
 
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