Characteristic polynomials of random banded Hessenberg matrices and Hermite-Pad\'e approximation

Abey López-García; Vasiliy A. Prokhorov

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arXiv · 2104.03456

Characteristic polynomials of random banded Hessenberg matrices and Hermite-Pad\'e approximation

Abey López-García·Vasiliy A. Prokhorov

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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 $n\times n$ matrices in the class considered, we investigate the asymptotic behavior of their empirical spectral distribution as $n$ tends to infinity.

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Abey López-García, Vasiliy A. Prokhorov. 2021-04-08. Characteristic polynomials of random banded Hessenberg matrices and Hermite-Pad\'e approximation. https://arxiv.org/abs/2104.03456

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