| LARGE DEVIATIONS FOR TOP EIGENVALUES OF β-JACOBI ENSEMBLES AT SCALING TEMPERATURES |
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| 引用本文： | 雷良贞,马宇韬.LARGE DEVIATIONS FOR TOP EIGENVALUES OF β-JACOBI ENSEMBLES AT SCALING TEMPERATURES[J].数学物理学报(B辑英文版),2023(4):1767-1780. |
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| 作者姓名： | 雷良贞 马宇韬 |
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| 作者单位： | 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 |
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| 基金项目： | supported by the NSFC (12171038,11871008)；;985 Projects； |
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| 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■ λi when γ> 0 via the large deviation of the corresponding empirical measure and via a direct estimate,respectively,when γ=0.
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