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SUMMARY:Intrinsic area of a self-similar growth-fragmentation
DTSTART:20191126T161500
DTEND:20191126T181500
DTSTAMP:20260917T084022Z
UID:bdfc261b7d5217cdef03016411e6d312981c79646279e221cf117f09
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. François Ged\nWe study the behaviour of a natural measure
  de ned on the leaves of the genealogical tree of some branching processes
 \, namely self-similar growth-fragmentation processes. Each particle\, or 
 cell\, is attributed a positive mass that evolves in continuous time by ra
 ndomly growing and splitting. We are interested in the mass of the ball of
  radius t centered at the root\, denoted A(t). After giving the criterion 
 that discerns the absolutely continuous and the singular case for t 7! A(t
 )\, we will look at the asymptotics of A(t)\, as t ! 0+. We will apply the
 se results to the intrinsic volume measure of the Brownian map\, exploitin
 g the connection between growth-fragmentations and random planar maps rece
 ntly obtained in [1].\n\nThis talk is based on [2] and [3].\n\nReferences\
 n[1] Jean Bertoin\, Timothy Budd\, Nicolas Curien\, and Igor Kortchemski. 
 Martingales in self-similar growth-fragmentations and their connections wi
 th random planar maps. Probab. Theory Related Fields\, 172(3-4):663{724\, 
 2018.\n[2] Francois G. Ged. Intrinsic area near the origin for self-simila
 r growth-fragmentations and related random surfaces. arXiv:1908.03746\, 20
 19.\n[3] Francois G. Ged. Pro le of a self-similar growth-fragmentation. E
 lectron. J. Probab.\, 24:Paper No. 7\, 21\, 2019.
LOCATION:CM 1 221 https://plan.epfl.ch/?room==CM%201%20221
STATUS:CONFIRMED
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