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Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system Journal article
Lyu,Shulin, Chen,Yang, Xu,Shuai Xia. Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system[J]. Physica D: Nonlinear Phenomena, 2023, 449, 133755.
Authors:  Lyu,Shulin;  Chen,Yang;  Xu,Shuai Xia
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:2.7/3.1 | Submit date:2023/08/03
Laguerre Unitary Ensembles  Hankel Determinant  Orthogonal Polynomials  Painlevé Equations  Riemann–hilbert Problems  
The smallest eigenvalue distribution of the Jacobi unitary ensembles Journal article
Lyu, Shulin, Chen, Yang. The smallest eigenvalue distribution of the Jacobi unitary ensembles[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44(13), 10121-10134.
Authors:  Lyu, Shulin;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.1/2.0 | Submit date:2021/12/08
Asymptotic Expansions  Bessel Kernel  Fredholm Determinant  Jacobi Unitary Ensemble  Smallest Eigenvalue Distribution  
Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble Journal article
Lyu, Shulin, Min, Chao, Chen, Yang. Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble[J]. Journal of Mathematical Physics, 2021, 62(6), 063302.
Authors:  Lyu, Shulin;  Min, Chao;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.3 | Submit date:2021/12/08
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems Journal article
Lyu,Shulin, Chen,Yang. Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems[J]. Studies in Applied Mathematics, 2020, 146(1), 118-138.
Authors:  Lyu,Shulin;  Chen,Yang
Favorite | TC[WOS]:6 TC[Scopus]:6  IF:2.6/2.6 | Submit date:2021/03/09
Gaussian Unitary Ensembles  Hankel Determinant  Orthogonal Polynomials  Painlevé Equations  
The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble Journal article
Lyu, Shulin, Griffin, James, Chen, Yang. The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2019, 26(1), 24-53.
Authors:  Lyu, Shulin;  Griffin, James;  Chen, Yang
Favorite | TC[WOS]:9 TC[Scopus]:9  IF:1.4/1.0 | Submit date:2019/01/17
Hankel Determinant  Smallest Eigenvalue  Double Scaling  
Painleve III ' and the Hankel determinant generated by a singularly perturbed Gaussian weight Journal article
Min, Chao, Lyu, Shulin, Chen, Yang. Painleve III ' and the Hankel determinant generated by a singularly perturbed Gaussian weight[J]. NUCLEAR PHYSICS B, 2018, 936, 169-188.
Authors:  Min, Chao;  Lyu, Shulin;  Chen, Yang
Favorite | TC[WOS]:14 TC[Scopus]:15  IF:2.5/2.2 | Submit date:2019/01/17
Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles Journal article
Shulin Lyu, Yang Chen, Engui Fan. Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles[J]. NUCLEAR PHYSICS B, 2018, 926, 639-670.
Authors:  Shulin Lyu;  Yang Chen;  Engui Fan
Favorite | TC[WOS]:16 TC[Scopus]:16  IF:2.5/2.2 | Submit date:2018/10/30
The largest eigenvalue distribution of the laguerre unitary ensemble Journal article
Shulin LYU, Yang CHEN. The largest eigenvalue distribution of the laguerre unitary ensemble[J]. Acta Mathematica Scientia, 2017, 37(2), 439-462.
Authors:  Shulin LYU;  Yang CHEN
Favorite | TC[WOS]:9 TC[Scopus]:9  IF:1.2/1.1 | Submit date:2019/02/12
Differential Equations  Orthogonal Polynomials  Painlev´e Equations