In 1981 Wegner [493] proved on a physical level of rigour a lower and upper bound on the density of states (DOS) of the (discrete) Anderson model and similar lattice Hamiltonians. The density of states — if it exists — is the density function of the IDS.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Wegner Estimate. In: Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators. Lecture Notes in Mathematics, vol 1917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72691-3_3
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