BBP phenomena for deformed random band matrices
Probability
2023-04-27 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
We study additive finite-rank perturbations of random periodic band matrices under the assumption that the nontrivial eigenvalues of the perturbation do not depend on the dimension. We establish the eigenvalue/eigenvector BBP transition in this model for band widths . Our analysis relies on moment method calculations for general vector states.
Keywords
Cite
@article{arxiv.2304.13047,
title = {BBP phenomena for deformed random band matrices},
author = {Benson Au},
journal= {arXiv preprint arXiv:2304.13047},
year = {2023}
}
Comments
25 pages, 1 figure