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arXiv · 2304.13047

BBP phenomena for deformed random band matrices

Benson Au
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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 $b_N \gg N^\varepsilon$. Our analysis relies on moment method calculations for general vector states.

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BibTeXRIS

Benson Au. 2023-04-25. BBP phenomena for deformed random band matrices. https://arxiv.org/abs/2304.13047

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