Title :

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

Author(s) :

Augeri, Fanny [Auteur]
Department of Mathematics [Rehovot]
Laboratoire de Probabilités, Statistique et Modélisation [LPSM (UMR_8001)]
Butez, Raphael [Auteur]
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Zeitouni, Ofer [Auteur]
Weizmann Institute of Science [Rehovot, Israël]

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 $\beta>0$.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 $\beta>0$.Show less >

Language :

Anglais

Comment :

Corrected a mistake in computation of centering, improved error estimates through section 4, various typos corrected

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL