Séminaire de probabilités et physique statistique de l'IHES

Excursion decomposition of the 2D continuum GFF

by Prof. Juhan Aru (ETH Zurich)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette

2D continuum Gaussian free field (GFF) is a canonical model for random surfaces. It has various nice properties like conformal invariance or the Markov property, but also a notable disadvantage when thought of as a surface - it is merely a random generalized function that cannot be defined pointwise. Nevertheless, when one is stubborn enough and insists on studying its geometry, beautiful things start to appear: for example, connections to SLE processes of Schramm or to Brownian loop soups. I would like to give a short overview of some of the results obtained in this direction in collaboration with T. Lupu, E. Powell, A. Sepulveda and W. Werner. In particular, I would like to explain how to decompose the 2D continuum GFF into an independent sum of measures.

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now