| Residential College | false |
| Status | 已發表Published |
| Global and Local Scaling Limits for the linear eigenvalues statitics of Jacobi beta-ensembles | |
CHEN YANG 
| |
| Publication Place | Operator Theory, Advances and Applications |
| Publisher | Springer Nature Switzerland AG 2022 |
| 2022-05 | |
| Other Abstract | We study the moment-generating functions (MGF) for linear eigenvalue statistics of Jacobi unitary, symplectic and orthogonal ensembles. By expressing the MGF as Fredholm determinants of kernels of finite rank, we show that the mean and variance of the suitably scaled linear statistics in these Jacobi ensembles are related to the sine kernel in the bulk of the spectrum, whereas they are related to the Bessel kernel at the (hard) edge of the spectrum. The relation between the Jacobi symplectic/orthogonal ensemble (JSE/JOE) and the Jacobi unitary ensemble (JUE) is also established. |
| Keyword | Linear Eigenvalue Statistics Jacobi Β-ensembles Moment-generating Function Mean And Variance Sine Kernel Bessel Kernel |
| MOST Discipline Catalogue | Mathematics |
| URL | View the original |
| Indexed By | SCIE |
| Country | Switzerland |
| ISSN | 978-3-031-13850-8 |
| Language | 英語English |
| Document Type | Journal |
| Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
| Recommended Citation GB/T 7714 | CHEN YANG. Global and Local Scaling Limits for the linear eigenvalues statitics of Jacobi beta-ensembles[J]. Operator Theory, Advances and Applications:Springer Nature Switzerland AG 2022, 2022. |
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| minchaochenyangwidom（283KB） | 期刊 | 开放获取 | CC BY-NC-SA | View Download | ||
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