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SUMMARY:Branching Brownian Motion in a Bounded Domain - Ellen Powell\, CCA
DTSTART:20150603T150000Z
DTEND:20150603T160000Z
UID:TALK59280@talks.cam.ac.uk
CONTACT:Dominic Dold
DESCRIPTION:We study binary branching Brownian motion in a bounded domain 
 D of R^d satisfying certain regularity assumptions\, in which particles ar
 e killed upon hitting the boundary dD. It was proved by Watanabe and Sevas
 t'yanov that there is a critical value of the branching parameter beta abo
 ve which the probability that the process survives for all time becomes st
 rictly positive. For all beta less than or equal to this critical value\, 
 the process dies out almost surely. We offer a new proof of this result us
 ing certain martingales associated with the process\, and further investig
 ate the system at criticality. For a smooth domain\, combining spine techn
 iques with an asymptotic analysis of the FKPP equation allows us to prove 
 an exact asymptotic for the probability of survival up to large time t. Th
 is is subject to the proof of a technical lemma\, which we expect to be co
 mpleted shortly.
LOCATION:MR11\, Centre for Mathematical Sciences
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