Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions |
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| Authors: | Abel Klein Jean Lacroix Athanasios Speis |
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| Affiliation: | (1) Department of Mathematics, University of California, 92717 Irvine, California;(2) Present address: Département de Mathématiques, Université de Paris XIII, F-93430 Villetaneuse, France;(3) Present address: Department of Mathematics, University of Michigan, 48109-1092 Ann Arbor, Michigan |
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| Abstract: | ![]()
We derive regularity properties for the density of states in the Anderson model on a one-dimensional strip for potentials with singular continuous distributions. For example, if the characteristic function is infinitely differentiable with bounded derivatives and together with all its derivatives goes to zero at infinity, we show that the density of states is infinitely differentiable. |
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| Keywords: | Anderson model density of states Anderson model on a strip |
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