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SUMMARY:Generalized Fleming-Viot Processes with Mutations - Mytnik\, L (Te
 chnion)
DTSTART:20120913T080000Z
DTEND:20120913T085000Z
UID:TALK39722@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider a generalized Fleming-Viot process with index $lp
 ha in (1\,2)$ with constant mutation rate $	heta>0$. We show that for any 
 $	heta>0$\, with probability one\, there are no times at which there is a 
 finite number of types in the population. This is different from the corre
 sponding result of Schmuland for a classical Fleming-Viot process\, where 
 such times exist for $	heta$ sufficiently large. Along the proof we introd
 uce a measure-valued branching process with non-Lipschitz interactive immi
 gration which is of independent interest. \n
LOCATION:Seminar Room 1\, Newton Institute
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