Relation between the geometry of sign clusters of the 2D GFF and its Wick powers
Vortrag von Dr. Titus Lupu
Sprecher eingeladen von: Prof. Dr. Jean Bertoin
Datum: 26.02.25 Zeit: 17.15 - 18.45 Raum: Y27H12
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 times. In my talk I will present an analogue of this in the case of the 2D GFF. In the latter case, there is an asymptotic expansion of the epsilon-neighborhood 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 renormalized (Wick) powers of the GFF.