A CLT for the characteristic polynomial of random Jacobi matrices, and the GβE

• 成果类型: Article
• 署名作者: Augeri, Fanny; Butez, Raphael; Zeitouni, Ofer
• 署名单位: Weizmann Institute of Science; Universite Paris Cite; Universite de Lille; New York University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-023-01194-9
• 发表日期: 2023
• 页码: 1-89
• 关键词: determinant; eigenvalues; distributions; maximum; models

摘要

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