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Extremes of some Gaussian random interfaces
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein-Chen metho…
A note on the extremal process of the supercritical Gaussian Free Field
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show…
Extremes of the supercritical Gaussian Free Field
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
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. Th…