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20132026
most citedEEG based Emotion Recognition: A Tutorial and Review

484 citations

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6 papers · 1 filter

math-ph2025

Asymptotics of the partition function of the perturbed Gross-Witten-Wadia unitary matrix model

Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao

We consider the asymptotics of the partition function of the extended Gross-Witten-Wadia unitary matrix model by introducing an extra logarithmic term in the potential. The partiti…

math-ph2021★ 5 cited

Painlevé IV, Form and the Deformed Hermite Unitary Ensembles

Mengkun Zhu, Dan Wang, Yang Chen

We study the Hankel determinant generated by a deformed Hermite weight with one jump , where , , , $γ>-1…

math-ph2020★ 12 cited

The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight

Mengkun Zhu, Yang Chen, Chuanzhong Li

An asymptotic expression of the orthonormal polynomials as , associated with the singularly perturbed Laguerre weight $w_α(x;t)=x^α{\rm e}^…

math-ph2020

The Smallest Eigenvalue Distribution of the Jacobi Unitary Ensembles

Shulin Lyu, Yang Chen

In the hard edge scaling limit of the Jacobi unitary ensemble generated by the weight , the probability that all eigenvalues of Hermitian matrices fro…

math-ph2020★ 2 cited

Asymptotics of the Largest Eigenvalue Distribution of the Laguerre Unitary Ensemble

Shulin Lyu, Chao Min, Yang Chen

We study the probability that all the eigenvalues of Hermitian matrices, from the Laguerre unitary ensemble with the weight $x^γ\mathrm{e}^{-4nx},\;x\in[0,\infty),\;γ>-…

math-ph2018★ 11 cited

The Smallest Eigenvalue of Large Hankel Matrices Generated by a Deformed Laguerre Weight

Mengkun Zhu, Niall Emmart, Yang Chen +1

We study the asymptotic behavior of the smallest eigenvalue, , of the Hankel (or moments) matrix denoted by , with re…