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arXiv · 1903.12222

On the continuity of the integrated density of states in the disorder

Mira Shamis
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Abstract

Recently, Hislop and Marx studied the dependence of the integrated density of states on the underlying probability distribution for a class of discrete random Schr\"odinger operators, and established a quantitative form of continuity in weak* topology. We develop an alternative approach to the problem, based on Ky Fan inequalities, and establish a sharp version of the estimate of Hislop and Marx. We also consider a corresponding problem for continual random Schr\"odinger operators on $\R^d$.

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Mira Shamis. 2019-03-28. On the continuity of the integrated density of states in the disorder. https://arxiv.org/abs/1903.12222

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