On high-level exceedances of Gaussian fields and the spectrum of random Hamiltonians

被引：3
|
作者：
Astrauskas, A [1 ]
机构：
[1] Inst Math & Informat, LT-2021 Vilnius, Lithuania
来源：
ACTA APPLICANDAE MATHEMATICAE | 2003年 / 78卷 / 1-3期
关键词：
Gaussian random fields; high-level exceedances; extreme values; random Schrodinger operator; extreme eigenvalues;
D O I：
10.1023/A:1025723719135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the almost sure asymptotic structure of high-level exceedances by Gaussian random field xi(x), x is an element of V with correlated values, where {V} is a family of nu-dimensional cubes increasing to Z(nu). The results are applied to the study of the asymptotic behaviour of extreme eigenvalues of random Schrodinger operator in V.
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页码：35 / 42
页数：8
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