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Pré-Publication, Document De Travail Année : 2022

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

Résumé

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 $\beta>0$.

Dates et versions

hal-03902892 , version 1 (16-12-2022)

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Fanny Augeri, Raphael Butez, Ofer Zeitouni. A CLT for the characteristic polynomial of random Jacobi matrices, and the G$\beta$E. 2022. ⟨hal-03902892⟩
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