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SUMMARY:The Structure of Extreme Level Sets in Branching Brownian Motion -
  Lisa Hartung (NYU)
DTSTART:20170606T151500Z
DTEND:20170606T161500Z
UID:TALK72416@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Branching Brownian motion (BBM) is a classical process in prob
 ability\, describing a population of particles performing independent Brow
 nian motion and branching according to a Galton Watson process. Arguin et 
 al.\\ and A\\"\\i{}d\\'ekon et al.\\ proved the convergence of the extrema
 l process. In the talk we discuss how one can obtain finer results on the 
 extremal level sets by using a random walk-like representation of the extr
 emal particles. We establish among others the asymptotic density of extrem
 al particles at a given distance from the maximum and  the upper tail prob
 abilities for the distance between the maximum and the second maximum (joi
 nt work with Aser Cortines and Oren Louidor).\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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