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SUMMARY: Height gap of the planar Brownian motion - Titus Lupu (Paris)
DTSTART:20250218T140000Z
DTEND:20250218T150000Z
UID:TALK228130@talks.cam.ac.uk
CONTACT:118195
DESCRIPTION:Schramm and Sheffield introduced the notion of height gap for 
 the continuum Gaussian free field (GFF) in dimension 2. It turns out that 
 this height gap has a natural interpretation through clusters of Brownian 
 loops arising in Brownian loop soups representations of the GFF. By consid
 ering different intensity parameters 0<c<=1 for Brownian loop soups\, one 
 can get a whole family of fields with a height gap for each value of c. In
  the limit c goes to 0\, one gets the height gap for the occupation field 
 of a single Brownian trajectory. In this case\, the explicit value of the 
 height gap can be identified\, and it equals 5 over pi. This is a joint wo
 rk with Antoine Jégo and Wei Qian.
LOCATION:MR12
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