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20092026
most citedSingular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits

88 citations · 390 across the 36 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math-ph2019★ 4 cited

Large n limit for the product of two coupled random matrices

Guilherme L. F. Silva, Lun Zhang

For a pair of coupled rectangular random matrices we consider the squared singular values of their product, which form a determinantal point process. We show that the limiting mean…

math-ph2019

On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

Dan Dai, Shuai-Xia Xu, Lun Zhang

We consider a family of tronquée solutions of the Painelvé II equation \begin{equation*} q''(s)=2q(s)^3+sq(s)-(2α+\frac12), \qquad α> -\frac12, \end{equation*} which is characteriz…