LARGE DEVIATIONS FOR TOP EIGENVALUES OF β-JACOBI ENSEMBLES AT SCALING TEMPERATURES

被引：0

作者：

雷良贞 ^{[1
]}

马宇韬 ^{[2
]}

机构：

[1] School of Mathematical Science, Capital Normal University

[2] School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems of Ministry of Education, Beijing Normal University

来源：

Acta Mathematica Scientia | 2023年 / 43卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O175.9 [特征值及特征值函数问题];

学科分类号：

摘要：

Let λ=(λ1,…,λn) be β-Jacobi ensembles with parameters p1,p2,n and β,with β varying with n.Set■.Suppose that■ and 0 ≤σγ <1.We offer the large deviation for p1+p2/p1■ λiwhen γ> 0 via the large deviation of the corresponding empirical measure and via a direct estimate,respectively,when γ=0.

引用

页码：1767 / 1780

页数：14

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