Limit theorems on the mesoscopic scale for the Anderson model
Yoel Grinshpon
The Hebrew University of Jerusalem, Israel
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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 this article
Yoel Grinshpon, Limit theorems on the mesoscopic scale for the Anderson model. J. Spectr. Theory 13 (2023), no. 1, pp. 133–151
DOI 10.4171/JST/456