JournalsjstVol. 13, No. 1pp. 133–151

Limit theorems on the mesoscopic scale for the Anderson model

  • Yoel Grinshpon

    The Hebrew University of Jerusalem, Israel
Limit theorems on the mesoscopic scale for the Anderson model cover
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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