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Author: Cipriani, Alessandra × Subject: Discrete Gaussian free field ×

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    Extremes of the supercritical Gaussian free field
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Chiarini, Alberto; Cipriani, Alessandra; Hazra, Rajat Subhra
    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. The result holds both for the infinite-volume field as well as the field with zero boundary conditions. We show that these results follow from an interesting application of the Stein-Chen method from Arratia et al. (1989).