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SUMMARY:How to build a planar Brownian motion from a simple path and loops
DTSTART:20251118T085000Z
DTEND:20251118T095000Z
DTSTAMP:20260815T073700Z
UID:indico-event-14979@indico.math.cnrs.fr
DESCRIPTION:Speakers: Isao Sauzedde (ENS Lyon)\n\nThe SLE2 path is the lim
 it in the continuum of the 2D loop-erased random walk. The Brownian loop s
 oup is a Poisson random set of loops in the plane. In 2003\, Lawler and We
 rner conjectured that\, by attaching to the former random simple path (i.e
 . without self-intersection) the loops  from the latter set\, one should 
 obtained a parameterised path which is a Brownian motion. I will present r
 esults we obtained with Nathanaël Berestycki which allow us to prove this
  conjecture. Most of the talk will be dedicated to the presentation of the
  "attachment" procedure and of its continuity properties. If there is enou
 gh time left\, I will shortly present continuum objects we may be able to 
 construct with this procedure\, such as scaling limits of unicycle forests
 . No prerequisite knowledge is assumed. The talk will be in english.\n\nht
 tps://indico.math.cnrs.fr/event/14979/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/14979/
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