A level line of the massive Gaussian free field (Léonie Papon, University of Durham)

27.05.2024 16:15 – 18:15

I will present a coupling between a massive planar Gaussian free field (GFF) and a random curve in which the curve can be interpreted as the level of the field. This coupling is constructed by reweighting the law of the standard GFF-SLE_4 coupling. I will then show that in this coupling, the marginal law of the curve is that of a massive version of SLE_4, called massive SLE_4. This law on curves was introduced by Makarov and Smirnov to describe the scaling limit of a massive version of the harmonic explorer. Time permitting, I will also explain how to reweight the law of the coupling GFF-CLE_4 to obtain a coupling between a massive GFF and a massive version of CLE_4.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Maths-Physique"

entrée libre