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学术报告十九:Birth of a cut in a unitary random matrix model with.......

来源:数学与统计学院     作者:     时间:2015/12/28 15:17:00  0次

数学与统计学院学术报告[2015]   019   号

(高水平大学建设系列报告004号)

 

讲座题目: Birth of a cut in a unitary random matrix model with a singular potential

讲座人:Dan DAI

讲座时间: 2015122914:30-16:30

讲座地点:科技楼514

报告内容:The study of eigenvalue distribution is one of the central problems in random matrix theory.  The limiting eigenvalue distribution as the matrix size tends to infinity attracts a lot of research interest in the literature.  In the unitary models, it is well-known that, when the potential is convex, the limiting eigenvalue distribution is supported on a single interval. If the convex property is lost, the limiting eigenvalue distribution is supported on several intervals in general. In this talk, we will discuss unitary random matrix ensembles in the critical regime where a new cut arises away from the original spectrum. While performing a double scaling limit, we obtain asymptotics of the correlation kernel by using the Riemann-Hilbert approach.

 

报告人简历

Dr. Dai is a tenure-track Assistant Professor at City University of Hong Kong. He obtained his Bachelor in Applied Mathematics from Fudan University (2002) and Ph.D. in Mathematics from City University of Hong Kong (2006). He is mainly working on asymptotic analysis, orthogonal polynomials, special functions and random matrix theory.

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