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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 2018 · math-phShow all

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math-ph2018★ 9 cited

Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations

Dan Dai, Shuai-Xia Xu, Lun Zhang

In this paper, we study the singularly perturbed Gaussian unitary ensembles defined by the measure \begin{equation*} \frac{1}{C_n} e^{- n\textrm{tr}\, V(M;λ,\vec{t}\;)}dM, \end{equ…