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SUMMARY:Critical branching diffusions in bounded domains. - Ellen Powell (
 Cambridge)
DTSTART:20161115T163000Z
DTEND:20161115T173000Z
UID:TALK67747@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:I will discuss branching diffusions in a bounded domain D in w
 hich particles are killed upon hitting the boundary. It is known that any 
 such process undergoes a phase transition when the branching rate reaches 
 a critical value: the first eigenvalue of the generator of the diffusion. 
  I will consider various properties of the critical system\, including the
  structure of the associated genealogical tree. When the system is conditi
 oned to survive for a long time\, it turns out that this tree converges to
  the Brownian CRT. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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