| Status | 已發表Published |
| Asymptotic gap probability distributions of the Gaussain unitary ensembles and Jacobi Unitary emsebles | |
Lyu, S ; Chen, Y.; Fan, E
| |
| 2018 | |
| Source Publication | Nuclear Physics B
 |
| ISSN | 0553-3213 |
| Pages | 639-670 |
| Abstract | In this paper, we address a class of problems in unitary ensembles. Specifically, we study the probability that a gap symmetric about 0, i.e. (-a,a) is found in the Gaussian unitary ensembles (GUE) and the Jacobi unitary ensembles (JUE) (where in the JUE, we take the parameters \alpha=\beta). By exploiting the even parity of the weight, a doubling of the interval to (a^2,\infty) for the GUE and (a^2,1), for the (symmetric) JUE , shows that the gap probabilities maybe determined as the product of the smallest eigenvalues of the LUE with parameters...... |
| Keyword | Random matrices Unitary ensembles Painleve equations |
| Language | 英語English |
| The Source to Article | PB_Publication |
| PUB ID | 35860 |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Fan, E |
| Recommended Citation GB/T 7714 | Lyu, S,Chen, Y.,Fan, E. Asymptotic gap probability distributions of the Gaussain unitary ensembles and Jacobi Unitary emsebles[J]. Nuclear Physics B, 2018, 639-670. |
| APA | Lyu, S., Chen, Y.., & Fan, E (2018). Asymptotic gap probability distributions of the Gaussain unitary ensembles and Jacobi Unitary emsebles. Nuclear Physics B, 639-670. |
| MLA | Lyu, S,et al."Asymptotic gap probability distributions of the Gaussain unitary ensembles and Jacobi Unitary emsebles".Nuclear Physics B (2018):639-670. |
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