Wegner estimate for discrete Schr?dinger operators with Gaussian random potentials

MartinTautenhahn

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Wegner estimate for discrete Schr?dinger operators with Gaussian random potentials

机译：Wegner估计离散的SCHR？Dinger运算符与高斯随机潜力

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摘要

We prove a Wegner estimate for discrete Schr?dinger operators with a potential given by a Gaussian random process.The only assumption is that the covariance function decays exponentially; no monotonicity assumption is required.This improves earlier results where abstract conditions on the conditional distribution, compactly supported and non-negative, or compactly supported covariance functions with positive mean are considered.

机译：我们证明了一个离散的SCHR的Wegner估计？Dinger运算符，具有高斯随机过程给出的潜力。唯一的假设是协方差函数逐渐衰减; 不需要单调性假设。这改善了早期的结果，其中摘要条件是对具有正均值的条件分布，紧凑的支持和非负，或紧凑的支持的协方差功能的抽象条件。

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来源
《Random operators and stochastic equations》 |2019年第1期|共8页
作者
MartinTautenhahn;
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作者单位

Fakult?t für Mathematik Technische Universit?t Chemnitz Chemnitz Germany;

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原文格式 PDF
正文语种 eng
中图分类随机微分方程;
关键词
Random Schr?dinger operator; Gaussian random potential; indefinite correlations; long range correlations; Wegner estimate; 82B44; 47B80; 60H25; 81Q10;

机译：随机SCHR？Dinger操作员;高斯随机潜力;无限期相关;长距离相关;Wegner估计;82b44;47b80;60h25;81q10;

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Wegner estimate for discrete Schr?dinger operators with Gaussian random potentials

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