Wegner estimate for discrete Schrödinger operators with Gaussian random potentials
2019 ◽
Vol 27
(1)
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pp. 1-8
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Keyword(s):
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.
2004 ◽
Vol 88
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pp. 526-544
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2013 ◽
Vol 76
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pp. 285-300
2019 ◽
Vol 472
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pp. 1420-1429
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1998 ◽
Vol 326
(9)
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pp. 1145-1150
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2007 ◽
Vol 198
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pp. 1787-1804
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