The IDS and Asymptotic of the Largest Eigenvalue of Random Schrödinger Operators with Decaying Random Potential (2009.00839v2)

Abstract: In this work we obtain the integrated density of states for the Schr\"{o}dinger operators with decaying random potentials acting on $\ell^2(\mathbb{Z}^d)$. We also study the asymptotic of the largest and smallest eigenvalues of its finite volume approximation