Characteristic polynomials of random banded Hessenberg matrices and Hermite-Pad\'e approximation
Probability
2023-08-30 v2 Classical Analysis and ODEs
Abstract
We consider a class of random banded Hessenberg matrices with independent entries having identical distributions along diagonals. The distributions may be different for entries belonging to different diagonals. For a sequence of matrices in the class considered, we investigate the asymptotic behavior of their empirical spectral distribution as tends to infinity.
Cite
@article{arxiv.2104.03456,
title = {Characteristic polynomials of random banded Hessenberg matrices and Hermite-Pad\'e approximation},
author = {Abey López-García and Vasiliy A. Prokhorov},
journal= {arXiv preprint arXiv:2104.03456},
year = {2023}
}
Comments
Minor changes in this version, including some added references, 20 pages