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The smallest eigenvalue of the Hankel matrices associated with a perturbed Jacobi weight Journal article
Wang, Yuxi, Chen, Yang. The smallest eigenvalue of the Hankel matrices associated with a perturbed Jacobi weight[J]. Applied Mathematics and Computation, 2024, 474, 128615.
Authors:  Wang, Yuxi;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:3.5/3.1 | Submit date：2024/05/16
Asymptotics  Hankel Matrices  Orthogonal Polynomials  Smallest Eigenvalue  
Gaussian unitary ensembles with jump discontinuities, PDEs, and the coupled Painlevé IV system Book chapter
出自: Contemporary Mathematics:American Mathematical Society, 2024, 页码:39-63
Authors:  Chen, Yang;  Lyu, Shulin
Favorite | TC[Scopus]:0 | Submit date：2024/12/26
Gaussian Unitary Ensembles  Hankel Determinant  Orthogonal Polynomials  Painlevé Equations  
THE SMALLEST EIGENVALUE OF THE ILL-CONDITIONED HANKEL MATRICES ASSOCIATED WITH A SEMI-CLASSICAL HERMITE WEIGHT Journal article
Wang, Yuxi, Zhu, Mengkun, Chen, Yang. THE SMALLEST EIGENVALUE OF THE ILL-CONDITIONED HANKEL MATRICES ASSOCIATED WITH A SEMI-CLASSICAL HERMITE WEIGHT[J]. Proceedings of the American Mathematical Society, 2023, 151(12), 5345-5352.
Authors:  Wang, Yuxi;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:0.8/0.8 | Submit date：2024/01/02
Hankel Matrices  Orthogonal Polynomials  Smallest Eigenvalue  
The Jacobi-type polynomials and general Heun equations Journal article
Wang,Dan, Zhu,Mengkun, Chen,Yang. The Jacobi-type polynomials and general Heun equations[J]. Applied Mathematics Letters, 2023, 144, 108694.
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.9/2.6 | Submit date：2023/08/03
Asymptotics  General Heun Equation  Orthogonal Polynomials  
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]:3 TC[Scopus]:4  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  
Distribution of the Scaled Condition Number of Single-spiked Complex Wishart Matrices Journal article
Pasan Dissanayake, Prathapasinghe Dharmawansa, Yang Chen. Distribution of the Scaled Condition Number of Single-spiked Complex Wishart Matrices[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68(10), 6716-6737.
Authors:  Pasan Dissanayake;  Prathapasinghe Dharmawansa;  Yang Chen
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:2.2/2.4 | Submit date：2022/07/04
Condition Number  Cumulative Distribution Function (C.d.f.)  Eigenvalues  Hypergeometric Function Of Two Matrix Arguments  Moment Generating Function (M.g.f.)  Orthogonal Polynomials  Probability Density Function (P.d.f.)  Single-spiked Covariance  Wishart Matrix  
A degenerate Gaussian weight connected with Painlevé equations and Heun equations Journal article
Han,Pengju, Chen,Yang. A degenerate Gaussian weight connected with Painlevé equations and Heun equations[J]. Random Matrices: Theory and Application, 2022, 10(04).
Authors:  Han,Pengju;  Chen,Yang
Favorite | TC[WOS]:3 TC[Scopus]:4  IF:0.9/0.9 | Submit date：2021/03/09
Orthogonal Polynomials  Ladder-operators Approach  Painlevé Equation  Heun Equation  Asymptotic Behavior  
THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT Journal article
Wang, Dan, Zhu, Mengkun, Chen, Yang. THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT[J]. Proceedings of the American Mathematical Society, 2022, 150(1), 153-160.
Authors:  Wang, Dan;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:5 TC[Scopus]:5  IF:0.8/0.8 | Submit date：2022/05/17
Asymptotics  Hankel Matrices  Orthogonal Polynomials  Smallest Eigenvalue  
Painlevé V for a Jacobi unitary ensemble with random singularities Journal article
Zhu, Mengkun, Li, Chuanzhong, Chen, Yang. Painlevé V for a Jacobi unitary ensemble with random singularities[J]. Applied Mathematics Letters, 2021, 120, 107242.
Authors:  Zhu, Mengkun;  Li, Chuanzhong;  Chen, Yang
Favorite | TC[WOS]:6 TC[Scopus]:6  IF:2.9/2.6 | Submit date：2021/12/08
Jacobi Unitary Ensembles  Ladder Operators  Orthogonal Polynomials  Painlevé v