Limit Theorems on the Mesoscopic Scale for the Anderson Model
Mathematical Physics
2022-04-29 v1 math.MP
Spectral Theory
Abstract
In this paper, we study eigenvalue fluctuations of the finite volume Anderson model in the mesoscopic scale. We carry out this study in a regime of exponential localization and prove a central limit theorem for the eigenvalue counting function in a shrinking interval.
Cite
@article{arxiv.2204.13565,
title = {Limit Theorems on the Mesoscopic Scale for the Anderson Model},
author = {Yoel Grinshpon},
journal= {arXiv preprint arXiv:2204.13565},
year = {2022}
}