A CLT for the characteristic polynomial of random Jacobi matrices, and the G$\beta$E

Fanny Augeri; Raphael Butez; Ofer Zeitouni

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arXiv · 2011.06870

A CLT for the characteristic polynomial of random Jacobi matrices, and the G$\beta$E

Fanny Augeri·Raphael Butez·Ofer Zeitouni

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Abstract

We prove a central limit theorem for the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the G$\beta$E models for $\beta>0$.

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Fanny Augeri, Raphael Butez, Ofer Zeitouni. 2020-11-13. A CLT for the characteristic polynomial of random Jacobi matrices, and the G$\beta$E. https://arxiv.org/abs/2011.06870

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