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SUMMARY:Branching particle systems with selection - Lee Zhuo Zhao (Univers
 ity of Cambridge)
DTSTART:20120528T123000Z
DTEND:20120528T133000Z
UID:TALK37992@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:Branching processes (either branching random walks or branchin
 g Brownian motion) with selection can be seen as a probabilistic genetic m
 odel for fixed populations. These families of particles systems\, first in
 vestigated by Eric Brunet and Bernard Derrida in 1997\, consist of a fixed
  population of _N_ particles\, which are given a real-valued _fitness_. At
  every branching event\, the population size is kept constant through sele
 cting only the _N_ fittest particles.\n\nIn this talk\, I shall discuss th
 e conjectures of Brunet and Derrida concerning the dynamics of such system
 s in one dimension\, together with the results of two recent rigorous pape
 rs on the subject\, as well as some of the results and expected results co
 ncerning a natural multi-dimensional generalisation of the model.
LOCATION:CMS\, MR14
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