Seminar at SMU Delhi
July 29, 2015 (Wednesday) ,
3:30 PM at Webinar
Rajat Subhra Hazra,
Indian Statistical Institute, Kolkata
Extremes of super critical discrete Gaussian free field
Abstract of Talk
We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution. A finer description of the maximum can also be obtained, that is, the associated extremal process converges to a Poisson point process. These results holds both for the infinite-volume field as well as the field with zero boundary conditions. The proofs follow from an interesting application of the Stein-Chen method from Arratia et al. (1989). This is a joint work with Alberto Chairini and Alessandra Cipriani.