Eigenvalue fluctuations for lattice Anderson Hamiltonians

Marek Biskup, Ryoki Fukushima, Wolfgang Koenig

We study the statistics of Dirichlet eigenvalues of the random Schrödinger operator $-{\epsilon }^{-2}{\Delta }^{(\text{d})}+{\xi }^{(\epsilon )}(x)$, with ${\Delta }^{(\text{d})}$ the discrete Laplacian on $\mathbb Z^d…