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
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.
引用
收藏
页码:35 / 42
页数:8
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