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Linear Statistics of Random Matrix Ensembles at the Spectrum Edge Associated with the Airy Kernel Journal article
arXiv, 2019
作者:  Chao Min;  Yang Chen
收藏  |  浏览/下载:3/0  |  提交时间:2019/07/22
Random Matrix Ensembles  Linear Statistics  Moment-generating Function  Airy Kernel  Mean And Variance  Asymptotics  
Painleve transcendents and the Hankel determinants generated by a discontinuous Gaussian weight Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019,Volume: 42,Issue: 1,Page: 301-321
作者:  Min, Chao;  Chen, Yang
收藏  |  浏览/下载:2/0  |  提交时间:2019/01/17
asymptotics  Hankel determinants  ladder operators  orthogonal polynomials  Painleve transcendents  random matrices  
Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 1,Page: 301-321
作者:  Min C.;  Chen Y.
收藏  |  浏览/下载:5/0  |  提交时间:2019/02/12
Asymptotics  Hankel Determinants  Ladder Operators  Orthogonal Polynomials  Painlevé Transcendents  Random Matrices  
On properties of a deformed Freud weight Journal article
RANDOM MATRICES-THEORY AND APPLICATIONS, 2019,Volume: 8,Issue: 1
作者:  Zhu, Mengkun;  Chen, Yang
收藏  |  浏览/下载:3/0  |  提交时间:2019/01/17
Deformed Freud weight  unitary random matrices  Hankel determinant  discrete and continuous Painleve equation  integrable systems  
The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 9,Page: 3272-3288
作者:  Mengkun Zhu;  Niall Emmart;  Yang Chen;  Charles Weems
收藏  |  浏览/下载:4/0  |  提交时间:2019/05/31
Asymptotics  Hankel Matrices  Random Matrix  Smallest Eigenvalue  Orthogonal Polynomials  
Random Matrices, Painlev'e Equations, Integrable Systems in Orthogonal Polynomials and Related Topics - Part II Preface Journal article
RANDOM MATRICES-THEORY AND APPLICATIONS, 2018,Volume: 7,Issue: 4
作者:  Chen, Yang;  Filipuk, Galina;  Rebocho, Maria das Neves
收藏  |  浏览/下载:11/0  |  提交时间:2018/10/31
Pre-averaging estimate of high dimensional integrated covariance matrix with noisy and asynchronous high-frequency data Journal article
RANDOM MATRICES-THEORY AND APPLICATIONS, 2018,Volume: 7,Issue: 3
作者:  Liu, Zhi;  Xia, Xiaochao;  Zhou, Guoliang
收藏  |  浏览/下载:8/0  |  提交时间:2018/10/30
High-frequency Data  Volatility Estimation  Microstructure Noise  
Kernel-Based Multilayer Extreme Learning Machines for Representation Learning Journal article
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018,Volume: 29,Issue: 3,Page: 757-762
作者:  Wong, Chi Man;  Vong, Chi Man;  Wong, Pak Kin;  Cao, Jiuwen
收藏  |  浏览/下载:10/0  |  提交时间:2018/10/30
Kernel Learning  Multilayer Extreme Learning Machine (Ml-elm)  Representation Learning  Stacked Autoencoder (Sae)  
Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite n to Double Scaling Journal article
STUDIES IN APPLIED MATHEMATICS, 2017,Volume: 140,Issue: 2,Page: 202-220
作者:  Chao Min;  Yang Chen
收藏  |  浏览/下载:16/0  |  提交时间:2018/10/30
The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant Conference paper
作者:  Han, Pengju;  Chen, Yang
收藏  |  浏览/下载:3/0  |  提交时间:2018/10/30
Orthogonal polynomials  ladder operator  Hankel determinant