The landscape law for the integrated density of states

The present paper establishes non-asymptotic estimates from above and below on the integrated density of states of the Schrodinger operator L = -Delta + V, using a counting function for the minima of the localization landscape, a solution to the equation Lu = 1. (c) 2021 Published by Elsevier Inc.

Automated summary

This paper establishes non-asymptotic estimates on the integrated density of states of the Schrodinger operator using a counting function for the minima of the localization landscape and a solution to a specific equation.