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SUMMARY:Relation between the geometry of sign clusters of the 2D GFF and i
 ts Wick powers - Titus Lupu (Sorbonne Université)
DTSTART:20241029T140000Z
DTEND:20241029T150000Z
UID:TALK220717@talks.cam.ac.uk
DESCRIPTION:In 1990 Le Gall showed an asymptotic expansion of the epsilon-
 neighborhood of a planar Brownian trajectory (Wiener sausage) into powers 
 of 1/|log eps|\, that involves the renormalized self-intersection local ti
 mes. In my talk I will present an analogue of this in the case of the 2D G
 FF. In the latter case\, there is an asymptotic expansion of the epsilon-n
 eighborhood of a sign cluster of the 2D GFF into half-integer powers of 1/
 |log eps|\, with the coefficients of the expansion being related to the re
 normalized (Wick) powers of the GFF.
LOCATION:Seminar Room 1\, Newton Institute
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