Sém. Proba. P.-F. Rodriguez. Phase coexistence of Gaussian free field sign clusters

schedule le mardi 16 octobre 2018 de 14h00 à 15h00

Organisé par : LPSM

Intervenant : Pierre-François RODRIGUEZ (IHES)
Lieu : Campus Jussieu, Tours-16-26, 2ème, Salle 209.

Sujet : Phase coexistence of Gaussian free field sign clusters

Résumé :

We describe the geometry of sign clusters of the Gaussian free field on a large class of transient weighted graphs. An important ingredient is the use of a certain algebraic relation, whose origins can be traced back to early work of Symanzik in field theory, which links the free field to Sznitman’s interlacement. As it turns out, the interlacement set can be crucially used as a system of highways that create good local and global connections. Based on joint work with A. Prévost and A. Drewitz.