Shulin Lyu

activity

20152026

most citedAsymptotic Gap Probability Distributions of the Gaussian Unitary Ensembles and Jacobi Unitary Ensembles

26 citations · 59 across the 14 of their papers we have counts for

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Showing 2023Show all

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math-ph2023

Hankel Determinants for a Gaussian weight with Fisher-Hartwig Singularities and Generalized Painlevé IV Equation

Xinyu Mu, Shulin Lyu

We study the Hankel determinant generated by a Gaussian weight with Fisher-Hartwig singularities of root type at $t_{j}$ , $j = 1, \dots, N$ . It characterizes a type of average characte…

math-ph2023★ 1 cited

Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé IV System

Yang Chen, Shulin Lyu

We study the Hankel determinant generated by the Gaussian weight with jump discontinuities at $t_{1}, \dots, t_{m}$ . By making use of a pair of ladder operators satisfied by the associa…