On High-Level Exceedances of Gaussian Fields and the Spectrum of Random Hamiltonians

@article{Atrauskas2003OnHE,
  title={On High-Level Exceedances of Gaussian Fields and the Spectrum of Random Hamiltonians},
  author={Andrius A{\vs}trauskas},
  journal={Acta Applicandae Mathematica},
  year={2003},
  volume={78},
  pages={35-42}
}
We study the almost sure asymptotic structure of high-level exceedances by Gaussian random field ξ(x), x∈V with correlated values, where {V} is a family of ν-dimensional cubes increasing to Zν. The results are applied to the study of the asymptotic behaviour of extreme eigenvalues of random Schrödinger operator in V. 

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