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SUMMARY:Jean-François Le Gall (Paris-Saclay)
DTSTART:20201106T173000Z
DTEND:20201106T183000Z
DTSTAMP:20260423T005711Z
UID:PatC/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/20/">Co
 mpact and non-compact models of random geometry</a>\nby Jean-François Le 
 Gall (Paris-Saclay) as part of Probability and the City Seminar\n\n\nAbstr
 act\nWe discuss various models of random geometry that arise as scaling   
 limits of large planar graphs embedded in the 2-sphere (also called    pla
 nar maps).     The most popular compact models are the Brownian sphere or 
 Brownian    map\,     and the Brownian disk\, which is the scaling limit o
 f planar maps    with a    boundary. We explain how Brownian disks can be 
 viewed as connected     components of the complement of balls in the Brown
 ian sphere\, and    we discuss a remarkable growth-fragmentation process t
 hat describes    the    evolution of the boundary sizes of these component
 s when the radius    of the ball increases. We also introduce the non-comp
 act models    called    the Brownian plane\, the infinite Brownian disk an
 d the Brownian    half-plane\,    and we present a unified construction of
  these three models based on        a spine decomposition. Most of the tal
 k is based on joint work with    Armand Riera.\n
LOCATION:https://researchseminars.org/talk/PatC/20/
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