Chiarini, Alberto ; Cipriani, Alessandra ; Hazra, Rajat Subhra (2016) Extremes of the supercritical Gaussian Free Field Latin American Journal of Probability and Mathematical Statistics, 13 . pp. 711-724. ISSN 1980-0436
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Official URL: http://alea.impa.br/articles/v13/13-28.pdf
Related URL: http://dx.doi.org/10.30757/ALEA.v13-28
Abstract
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).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to ALEA-Latin American Journal of Probability and Mathematical Statistics. |
| Keywords: | Extreme Value Theory; Gaussian Free Field; Stein-Chen Method. |
| ID Code: | 121028 |
| Deposited On: | 08 Jul 2021 11:42 |
| Last Modified: | 08 Jul 2021 11:42 |
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