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math-ph2022
Limit Theorems on the Mesoscopic Scale for the Anderson Model
Yoel Grinshpon
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 pro…
math-ph2020
Spectral fluctuations for the multi-dimensional Anderson model
Yoel Grinshpon, Moshe White
In this paper, we examine fluctuations of polynomial linear statistics for the Anderson model on for any potential with finite moments. We prove that if normalized b…
math-ph2019
Spectral fluctuations for Schrödinger operators with a random decaying potential
Jonathan Breuer, Yoel Grinshpon, Moshe White
We study fluctuations of polynomial linear statistics for discrete Schrödinger operators with a random decaying potential. We describe a decomposition of the space of polynomials i…