NDLI: Wegner estimate for discrete Schrödinger operators with Gaussian random potentials

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Wegner estimate for discrete Schrödinger operators with Gaussian random potentials

Content Provider	Scilit
Author	Tautenhahn, Martin
Copyright Year	2019
Abstract	We prove a Wegner estimate for discrete Schrödinger 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.
Related Links	http://www.degruyter.com/downloadpdf/j/rose.ahead-of-print/rose-2019-2001/rose-2019-2001.xml
Ending Page	8
Page Count	8
Starting Page	1
ISSN	09266364
e-ISSN	1569397X
DOI	10.1515/rose-2019-2001
Journal	Random Operators and Stochastic Equations
Issue Number	1
Volume Number	27
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2019-01-30
Access Restriction	Open
Subject Keyword	Random Operators and Stochastic Equations Mathematics Applied Mathematics Random Schrödinger Operator Gaussian Random Potential Indefinite Correlations,long Range Correlations Wegner Estimate Journal: Random Operators and Stochastic Equations, Vol- 27
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Analysis

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