The multiplicative constant for the Meijer-G kernel determinant

Author:

Charlier ChristopheORCID,Lenells JonatanORCID,Mauersberger JulianORCID

Abstract

Abstract We compute the multiplicative constant in the large gap asymptotics of the Meijer-G point process. This point process generalizes the Bessel point process and appears at the hard edge of Cauchy–Laguerre multi-matrix models and of certain product random matrix ensembles.

Funder

Ruth and Nils-Erik Stenback foundation

H2020 European Research Council

Swedish research council

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sine‐kernel determinant on two large intervals;Communications on Pure and Applied Mathematics;2023-10-04

2. The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem;Communications on Pure and Applied Mathematics;2023-06-27

3. Large gap asymptotics on annuli in the random normal matrix model;Mathematische Annalen;2023-03-31

4. Gap probability for products of random matrices in the critical regime;Journal of Approximation Theory;2022-02

5. Probability of Two Large Gaps in the Bulk and at the Edge of the Spectrum of Random Matrices;Toeplitz Operators and Random Matrices;2022

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