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UID:20251029T001813EDT-7509NxDrCM@132.216.98.100
DTSTAMP:20251029T041813Z
DESCRIPTION:Title: The shape of the front of multidimensional branching Bro
 wnian motion.\n\nAbstract: The extremal process of branching Brownian moti
 on (BBM)--- i.e.\, the collection of particles furthest from the origin-- 
 has gained lots of attention in dimension $d = 1$ due to its significance 
 to the universality class of log-correlated fields\, as well as to certain
  PDEs. In recent years\, a description of the extrema of BBM in $d > 1$ ha
 s been obtained. In this talk\, we address the following geometrical quest
 ion that can only be asked in $d > 1$. Generate a BBM at a large time\, an
 d draw the outer envelope of the cloud of particles: what is its shape? Ma
 croscopically\, the shape is known to be a sphere\; however\, we focus on 
 the outer envelope around an extremal point-- the 'front' of the BBM. We d
 escribe the scaling limit for the front\, with scaling exponent 3/2\, as a
 n explicit\, rotationally-symmetric random surface. Based on joint works w
 ith Julien Berestycki\, Bastien Mallein\, Eyal Lubetzky\, and Ofer Zeitoun
 i.\n\nIn Person: Burnside Hall\, Room 719A\, 805 Rue Sherbrooke O\, Montré
 al\, QC H3A 2K6\n\nZoom Link: https://umontreal.zoom.us/j/87805116449?pwd=
 Zqn2bGupljZwDftmU9iiAi7kpHMXaF.1\n
DTSTART:20240905T153000Z
DTEND:20240905T163000Z
LOCATION:Room 719A\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Yujin Kim (NYU)
URL:/mathstat/channels/event/yujin-kim-nyu-359268
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