Seminar at SMU Delhi
July 29, 2015 (Wednesday) ,
3:30 PM at Webinar
Speaker:
Rajat Subhra Hazra,
Indian Statistical Institute, Kolkata
Title:
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.