Random band matrix localization by scalar fluctuations
Probability
2022-06-15 v1
Abstract
We show the eigenvectors of a Gaussian random band matrix are localized when the band width is less than the 1/4 power of the matrix size. Our argument is essentially an optimized version of Schenker's proof of the 1/8 exponent.
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Cite
@article{arxiv.2206.06439,
title = {Random band matrix localization by scalar fluctuations},
author = {Nixia Chen and Charles K Smart},
journal= {arXiv preprint arXiv:2206.06439},
year = {2022}
}
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9 pages