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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  
Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants Journal article
Pengju Han, Yang Chen. Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022.
Authors:  Pengju Han;  Yang Chen
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.3 | Submit date:2022/07/04
Random Matrix Theory  Hankel Determinant  Semi-classical Laguerre Weight  Ladder Operators  Orthogonal Polynomials  
A NOTE ON THE ASYMPTOTICS OF THE HANKEL DETERMINANT ASSOCIATED WITH TIME-DEPENDENT JACOBI POLYNOMIALS Journal article
Min, Chao, Chen, Yang. A NOTE ON THE ASYMPTOTICS OF THE HANKEL DETERMINANT ASSOCIATED WITH TIME-DEPENDENT JACOBI POLYNOMIALS[J]. Proceedings of the American Mathematical Society, 2022, 150(4), 1719-1728.
Authors:  Min, Chao;  Chen, Yang
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:0.8/0.8 | Submit date:2022/05/17
Hankel Determinant  Heun’s Differential Equations  Large n Asymptotics  Painlevé v  Recurrence Coefficients  Time-dependent Jacobi Polynomials  
The hankel determinants from a singularly perturbed jacobi weight Journal article
Han, Pengju, Chen, Yang. The hankel determinants from a singularly perturbed jacobi weight[J]. Mathematics, 2021, 9(22).
Authors:  Han, Pengju;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.3/2.2 | Submit date:2021/12/08
Hankel Determinant  Ladder Operators  Painlevé v  Random Matrix Theory  Singularly Perturbed Jacobi Weight  
Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants Journal article
Min, Chao, Chen, Yang. Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants[J]. Studies in Applied Mathematics, 2021, 147(1), 390-416.
Authors:  Min, Chao;  Chen, Yang
Favorite | TC[WOS]:10 TC[Scopus]:11  IF:2.6/2.6 | Submit date:2021/12/08
Asymptotic Expansions  Hankel Determinant  Ladder Operators  Orthogonal Polynomials  Painlevé v  Pollaczek–jacobi Type Weight  
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  
Painlevé VI, Painlevé III, and the Hankel determinant associated with a degenerate Jacobi unitary ensemble Journal article
Min,Chao, Chen,Yang. Painlevé VI, Painlevé III, and the Hankel determinant associated with a degenerate Jacobi unitary ensemble[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43(15), 9169-9184.
Authors:  Min,Chao;  Chen,Yang
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:2.1/2.0 | Submit date:2021/03/09
Degenerate Jacobi Unitary Ensemble  Double Scaling Analysis  Hankel Determinant  Ladder Operators  Painlevé Equations  Random Matrix Theory  
Orthogonal polynomials with a semi-classical weight and their recurrence coefficients Review article
2020
Authors:  Dan Wang;  Mengkun Zhu;  Yang Chen
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:3.4/3.7 | Submit date:2021/03/09
Asymptotics  Hankel Determinant  Orthogonal Polynomials  Semi-classical  
Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble Journal article
Min,Chao, Chen,Yang. Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble[J]. Random Matrices: Theory and Application, 2020, 9(2).
Authors:  Min,Chao;  Chen,Yang
Favorite | TC[WOS]:10 TC[Scopus]:10  IF:0.9/0.9 | Submit date:2021/03/09
Hankel Determinant  Degenerate Laguerre Unitary Ensemble  Ladder Operators  Orthogonal Polynomials  Painlevé Equations  Asymptotics  
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