Extremes of the supercritical Gaussian Free Field

被引：0

作者：

Chiarini, Alberto ^{[1
]}

Cipriani, Alessandra ^{[2
]}

Hazra, Rajat Subhra ^{[3
]}

机构：

[1] Tech Univ Berlin, MA 766,Str 17 Juni 136, D-10623 Berlin, Germany

[2] Weierstrass Inst, Mohrenstr 39, D-10117 Berlin, Germany

[3] Indian Stat Inst, Theoret Stat & Math Unit, 203 BT Rd, Kolkata 700108, India

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2016年 / 13卷 / 02期

关键词：

Extreme value theory; Gaussian free field; Stein-Chen method; CONVERGENCE; LAW;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 in finite-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).

引用

页码：711 / 724

页数：14

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