The density of states and local eigenvalue statistics for random band matrices of fixed width
The density of states and local eigenvalue statistics for random band matrices of fixed width
We prove that the local eigenvalue statistics for d = 1 random band matrices with fixed bandwidth and, for example, Gaussian entries, is given by a Poisson point process and we identify the intensity of the process. The proof relies on an extension of the localization bounds of Schenker [23] …