随机雅可比矩阵的特征多项式的一个CLT，和G $$\beta $$ E

IF 1.5 1区数学 Q2 STATISTICS & PROBABILITY

Probability Theory and Related Fields Pub Date : 2023-03-13 DOI:10.1007/s00440-023-01194-9

Fanny Augeri, Raphael Butez, Ofer Zeitouni

引用次数: 9

摘要

证明了随机雅可比矩阵特征多项式对数实部的一个中心极限定理。我们的结果涵盖了$$\beta >0$$的G $$\beta $$ E模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 $$\beta >0$$ .

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来源期刊

Probability Theory and Related Fields 数学-统计学与概率论

CiteScore

3.70

自引率

5.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Probability Theory and Related Fields publishes research papers in modern probability theory and its various fields of application. Thus, subjects of interest include: mathematical statistical physics, mathematical statistics, mathematical biology, theoretical computer science, and applications of probability theory to other areas of mathematics such as combinatorics, analysis, ergodic theory and geometry. Survey papers on emerging areas of importance may be considered for publication. The main languages of publication are English, French and German.