SIMIS Seminar series on Random matrix theory, Integrable systems and Applications: Local statistics of Muttalib-Borodin ensemble in the hard to soft transitive regime

Speaker: Dong Wang (School of Mathematical Sciences, University of Chinese Academy of Sciences)

Abstract: Muttalib-Borodin ensemble is a typical biorthogonal ensemble. It has a hard edge limit that is expressed by Wright’s generalized Bessel functions, or by Meijer G functions if the parameter $\theta$ is an integer. This hard edge limit does not occur in orthogonal polynomial ensembles. In this talk we consider the transition from the hard edge limit to the soft edge limit of the Muttalib-Borodin ensemble with an integer $\theta$ parameter, and find an interpolation from the Meijer G correlation kernel to the Airy correlation kernel. This is joint work with Shui-Xia Xu.

Time: 13:30-14:30, Friday, 15th November 2024

Location: Room 1410 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

Send comments or questions to: Miguel Tierz to tierz (at) simis.cn

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