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SUMMARY:Local times of Brownian motion indexed by the Brownian tree - Jean
 -Francois Le Gall (Université Paris Saclay)
DTSTART:20241029T114500Z
DTEND:20241029T124500Z
UID:TALK220714@talks.cam.ac.uk
DESCRIPTION:We consider Brownian motion indexed by the Brownian tree\, whi
 ch arises in a number of asymptotics for discrete models\, interacting par
 ticle systems or statistical physics models. Local times are defined as th
 e density of the associated occupation&nbsp\; measure. We establish a Mark
 ov property for these local times and prove that they satisfy a stochastic
  differential equation whose coefficients involve the Airy function. This 
 is based in part on a joint work with Ed Perkins.
LOCATION:Seminar Room 1\, Newton Institute
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