A CLT for the characteristic polynomial of random Jacobi matrices, and the G$β$E
Fanny Augeri, Raphael Butez, Ofer Zeitouni·2020-11-13·via math.PR updates on arXiv.org
We prove a central limit theorem for the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the G$β$E models for $β>0$.