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Poisson Statistics of Eigenvalues in the Hierarchical Anderson Model
被引：0
作者：
Evgenij Kritchevski
机构：
[1] McGill University,Department of Mathematics and Statistics
来源：
Annales Henri Poincaré
|
2008年
/
9卷
关键词：
Point Process;
Anderson Model;
Poisson Point Process;
Poisson Statistic;
Eigenvalue Statistic;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the eigenvalue statistics for the hieracharchial Anderson model of Molchanov [21–23,27,28]. We prove Poisson fluctuations at arbitrary disorder, when the the model has a spectral dimension d < 1. The proof is based on Minami’s technique [25] and we give an elementary exposition of the probabilistic arguments.
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页码：685 / 709
页数：24
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