Limit Theorems on the Mesoscopic Scale for the Anderson Model

Yoel Grinshpon

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arXiv · 2204.13565

Limit Theorems on the Mesoscopic Scale for the Anderson Model

Yoel Grinshpon

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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.

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Yoel Grinshpon. 2022-04-28. Limit Theorems on the Mesoscopic Scale for the Anderson Model. https://arxiv.org/abs/2204.13565

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