The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the "birth of a cut" transition
| dc.creator | Mo, M. Y. | |
| dc.date | 2007-11-21 | |
| dc.date.accessioned | 2026-07-07T08:44:11Z | |
| dc.date.available | 2026-07-07T08:44:11Z | |
| dc.description | In this paper we studied the double scaling limit of a random unitary matrix ensemble near a singular point where a new cut is emerging from the support of the equilibrium measure. We obtained the asymptotic of the correlation kernel by using the Riemann-Hilbert approach. We have shown that the kernel near the critical point is given by the correlation kernel of a random unitary matrix ensemble with weight $e^{-x^{2ν}}$. This provides a rigorous proof of the previous results of Eynard. | |
| dc.description | 41 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0711.3208 | |
| dc.identifier | http://arxiv.org/abs/0711.3208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142570 | |
| dc.subject | Mathematical Physics | |
| dc.title | The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the "birth of a cut" transition | |
| dc.type | text |