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Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues
Journal article
Journal of Mathematical Physics, 2022,Volume: 63
Authors:
Jianduo Yu
;
Chuanzhong Li
;
Mengkun Zhu
;
Yang Chen
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TC[WOS]:
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Submit date:2022/07/04
A NOTE ON THE ASYMPTOTICS OF THE HANKEL DETERMINANT ASSOCIATED WITH TIME-DEPENDENT JACOBI POLYNOMIALS
Journal article
Proceedings of the American Mathematical Society, 2022,Volume: 150,Issue: 4,Page: 1719-1728
Authors:
Min, Chao
;
Chen, Yang
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TC[WOS]:
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TC[Scopus]:
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Submit date:2022/05/17
Hankel Determinant
Heun’s Differential Equations
Large n Asymptotics
Painlevé v
Recurrence Coefficients
Time-dependent Jacobi Polynomials
Semi-classical Jacobi polynomials, Hankel determinants and asymptotics
Journal article
Analysis and Mathematical Physics, 2022,Volume: 12,Issue: 1
Authors:
Min, Chao
;
Chen, Yang
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TC[WOS]:
0
TC[Scopus]:
0
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Submit date:2022/03/04
Asymptotic Expansions
Differential And Difference Equations
Hankel Determinants
Ladder Operators
Painlevé v
Semi-classical Jacobi Polynomials
THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT
Journal article
Proceedings of the American Mathematical Society, 2022,Volume: 150,Issue: 1,Page: 153-160
Authors:
Wang, Dan
;
Zhu, Mengkun
;
Chen, Yang
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TC[WOS]:
0
TC[Scopus]:
0
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Submit date:2022/05/17
Asymptotics
Hankel Matrices
Orthogonal Polynomials
Smallest Eigenvalue
The smallest eigenvalue distribution of the Jacobi unitary ensembles
Journal article
Mathematical Methods in the Applied Sciences, 2021,Volume: 44,Issue: 13,Page: 10121-10134
Authors:
Lyu, Shulin
;
Chen, Yang
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TC[WOS]:
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TC[Scopus]:
0
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Submit date:2021/12/08
Asymptotic Expansions
Bessel Kernel
Fredholm Determinant
Jacobi Unitary Ensemble
Smallest Eigenvalue Distribution
Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities
Journal article
Analysis and Mathematical Physics, 2021,Volume: 11,Issue: 3
Authors:
Zhu, Mengkun
;
Wang, Dan
;
Chen, Yang
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TC[WOS]:
1
TC[Scopus]:
0
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Submit date:2021/12/08
Asymptotics
Ladder Operators
Laguerre Unitary Ensembles
Orthogonal Polynomials
Painlevé Equations
Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants
Journal article
Studies in Applied Mathematics, 2021,Volume: 147,Issue: 1,Page: 390-416
Authors:
Min, Chao
;
Chen, Yang
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TC[WOS]:
4
TC[Scopus]:
3
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Submit date:2021/12/08
Asymptotic Expansions
Hankel Determinant
Ladder Operators
Orthogonal Polynomials
Painlevé v
Pollaczek–jacobi Type Weight
Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble
Journal article
Journal of Mathematical Physics, 2021,Volume: 62,Issue: 6
Authors:
Lyu, Shulin
;
Min, Chao
;
Chen, Yang
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TC[WOS]:
0
TC[Scopus]:
0
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Submit date:2021/12/08
A Hybrid Structural Sparsication Error Model for Image Restoration
Journal article
IEEE Transactions on Neural Networks and Learning Systems, 2021
Authors:
Zhiyuan Zha
;
Bihan Wen
;
Xin Yuan
;
Jiantao Zhou
;
Ce Zhu
;
Alex Chichung Kot
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TC[WOS]:
10
TC[Scopus]:
13
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Submit date:2022/07/07
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems
Journal article
Studies in Applied Mathematics, 2021,Volume: 146,Issue: 1,Page: 118-138
Authors:
Lyu,Shulin
;
Chen,Yang
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TC[WOS]:
0
TC[Scopus]:
0
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Submit date:2021/03/09
Gaussian Unitary Ensembles
Hankel Determinant
Orthogonal Polynomials
Painlevé Equations