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arXiv · 1909.10558

The landscape law for the integrated density of states

Guy David·Marcel Filoche·Svitlana Mayboroda
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Abstract

The present paper establishes non-asymptotic estimates from above and below on the integrated density of states of the Schr\"odinger operator $L=-\Delta+V$, using a counting function for the minima of the localization landscape, a solution to the equation $Lu=1$.

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Guy David, Marcel Filoche, Svitlana Mayboroda. 2019-09-23. The landscape law for the integrated density of states. https://arxiv.org/abs/1909.10558

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