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
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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.
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页码：1767 / 1780
页数：14
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