تقرير
Nonstandard limit theorems and large deviation for beta -Jacobi ensembles with a different scaling
| العنوان: | Nonstandard limit theorems and large deviation for beta -Jacobi ensembles with a different scaling |
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| المؤلفون: | Ma, Yutao, Mao, Yong-Hua, Wang, Siyu |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability |
| الوصف: | We consider $\beta$-Jacobi ensembles with parameters $p_1, p_2\geq n.$ We prove that the empirical measure of the rescaled Jacobi ensembles converges weakly to a modified Watcher law via the spectral measure method, which revisits the weak limits obtained in \cite{MaLDPJ} while replacing the condition $\beta n\!>\!> \log n$ by $\beta n\!>\!>1.$ We also provide the central limit theorem and the large deviation for the corresponding rescaled spectral measure. Comment: 23 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.15321 |
| رقم الأكسشن: | edsarx.2307.15321 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |