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SUMMARY:Non-extensive condensation in reinforced branching processes  - C
 écile Mailler 
DTSTART:20160126T163000Z
DTEND:20160126T173000Z
UID:TALK63782@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In this joint work with Steffen Dereich and Peter Mörters\, w
 e introduce and study a branching process with both a reinforcement and a 
 mutation dynamics. Our model incompasses as a particular case the Bianconi
  and Barab\\'asi's preferential attachment graph with fitnesses but also a
  selection and mutation population branching process. We prove that this m
 odel exhibits\, under some conditions on the parameters\, a condensation p
 henomenon\, and more precisely that ``the winner does not take it all''\, 
 disproving a claim made in the physics literature about the Bianconi and B
 arab\\'asi's model. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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