Year: 2022
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Chen, Nixia, Smart, Charles K
Institutions: Yale University, University of Chicago
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4282964863