Welcome to Zhigang Bao's HomePage
Zhigang Bao
I'm an Associate Professor in Department of Mathematics at Hong Kong University of Science and Technology.
In general, I'm interested in Probability, Statistical Physics, and High-dimensional Statistics.
Contact
Email: mazgbao@ust.hk
Address: Rm 3429, Department of Mathematics, HKUST, Clear Water Bay, Kowloon, Hong Kong.
Teaching
MATH 2431-Honors Probability, HKUST, Spring 2024
MATH 5450-Stochastic Process, HKUST, Spring 2024
Preprints and Publications
34. A leave-one-out approach to approximate message passing
with Q.Y. Han and X.C. Xu
arXiv: 2312.05911
33. Phase transition for the smallest eigenvalue of covariance matrices
with J. Lee, and X.C. Xu
arXiv: 2308.09581 (Version submitted to journal: Article, Supplement)
32. Non-splitting Neyman-Pearson Classifiers
with J.M. Wang, L. Xia, and X. Tong
arXiv: 2112.00329
31. Spectral Statistics of Sample Block Correlation Matrices
with J. Hu, X.C. Xu, and X.Z. Zhang
30. Extreme eigenvalues of Log-concave Ensemble
with X.C. Xu
29. Quantitative CLT for linear eigenvalue statistics of Wigner matrices
with Y.K. He
28. On Cramer-von Mises statistic for the spectral distribution of random matrices
with Y.K. He
Annals of Applied Probability, 32(6), 4315-4355, (2022)
27. Statistical inference for principal components of spiked covariance matrix
with X.C. Ding, J.M. Wang and K. Wang
Annals of Statistics, 50 (2), 1144-1169, (2022).
26. Eigenvector distribution in the critical regime of BBP transition
with D. Wang
Probability Theory and Related Fields, 182 (1-2), 399-479, (2022).
25. Central limit theorem for mesoscopic eigenvalue statistics of the free sum of matrices
with K. Schnelli, and Y.Y. Xu
International Mathematics Research Notices, 2022(7), 5320-5382, (2022).
24. Equipartition principle for Wigner matrices
with L. Erdos, and K. Schnelli
Forum of Mathematics, Sigma, 9, Cambridge University Press, (2021).
23. Singular vector and singular subspace distribution for matrix denoising model
with X.C. Ding and K. Wang
Annals of Statistics, 49(1), 370-392,(2021)
22. Spectral rigidity for addition of random matrices at the regular edge
with L. Erdos and K. Schnelli
Journal of Functional Analysis, 279(7), 108639, (2020)
21. On the support of the free additive convolution
with L. Erdos and K. Schnelli
Journal d'Analyse Mathematique, 142, 323-348, (2020)
20. Tracy-Widom limit for Kendall's tau
Annals of Statistics, 47(6), 3504-3532, (2019)
19. Local single ring theorem on optimal scale
with L. Erdos and K. Schnelli
Annals of Probability, 47(3), 1270-1334, (2019)
with J. Hu, G. M. Pan and W. Zhou
Annals of Statistics, 47(1), 612-640, (2019)
17. Convergence rate of spectral distribution of addition of random matrices
with L. Erdos and K. Schnelli
Advances in Mathematics , 319, 251-291, (2017)
16. Delocalization for a class of random block band matrices
with L. Erdos
Probability Theory and Related Fields, 167(3), 673-776, (2017)
15. Test of independence for high-dimensional random vectors based on block correlation matrices
with J. Hu, G. M. Pan and W. Zhou
Electronic Journal of Statistics, 11(1), 1527-1548, (2017)
14. Local law of addition of random matrices on optimal scale
with L. Erdos and K. Schnelli
Communications in Mathematical Physics, 349(3), 947-990, (2017)
13. Local stability of the free additive convolution
with L. Erdos and K. Schnelli
Journal of Functional Analysis, 271(3), 672-719, (2016)
12. Spectral statistics of large dimensional Spearman's rank correlation matrix and its application
with L.-C. Lin, G. M. Pan and W. Zhou
Annals of Statistics, 43(6), 2588-2623, (2015)
11. Universality for the largest eigenvalue of sample covariance matrices with general population
with G. M. Pan and W. Zhou
Annals of Statistics, 43(1), 382-421, (2015)
10. The logarithmic law of random determinant
with G. M. Pan and W. Zhou
Bernoulli, 21(3), 1600-1628, (2015)
9. On the MIMO channel capacity for the general channels
with G. M. Pan, and W. Zhou
IEEE Transactions on Information Theory, 61 (6), 3413-3426, (2015)
8. CLT for linear spectral statistics of Hermitian Wigner matrices with general moment conditions
with J. S. Xie
Theory of Probability and its Applications, 60 (2), 311332, (2015)
7. Universality for a global property of the eigenvectors of Wigner matrices
with G. M. Pan and W. Zhou
Journal of Mathematical Physics, 55, 023303, (2014)
6. On asymptotic expansion and CLT of linear eigenvalue statistics for sample covariance matrices when N/M\to 0
Theory of Probability and its Applications, 59 (2), 313339, (2014)
5. Central limit theorem for partial linear eigenvalue statistics of random matrices
with G. M. Pan and W. Zhou
Journal of Statistical Physics, 150, Issue 1, 88-129, (2013)
4. Tracy-Widom law for the extreme eigenvalues of sample correlation matrices
with G. M. Pan and W. Zhou
Electronic Journal of Probability, 17, No. 88, 1-32, (2012)
3. Local Semicircle law and Gaussian fluctuation for Hermite \beta ensemble
with Z.G. Su
Scientia Sinica Mathematica , 42 (10), (2012)
2. Tracy-Widom limit for Spearman's rho
Preprint (not intended for publication)
1. Detecting linear and nonlinear dependence for a large number of random variables
with G. M. Pan, Y. R. Yang and W. Zhou
Preprint (not intended for publication)
Editorial Duties
Editorial Board, Linear Algebra and Its Applications (2021--)
Editorial Board, Random Matrices: Theory and Applications (2018--)
Awards and Grants
2023-2025 NSFC Excellent Young Scientists Fund (Hong Kong and Macau)
2022: School Teaching Award, School of Science, HKUST
2021: Hong Kong Mathematical Society Young Scholar Award, HKMS
2017/2018: Early Career Award, Hong Kong RGC
2022-2025: Hong Kong RGC grant GRF 16303922 (HKD 783,000)
2021-2024: Hong Kong RGC grant GRF 16305421 (HKD 850,015)
2020-2023: Hong Kong RGC grant GRF 16301520 (HKD 735,124)
2019-2022: Hong Kong RGC grant GRF 16301519 (HKD 753,667)
2018-2021: Hong Kong RGC grant GRF 16300618 (HKD 304,301)
2017-2020: Hong Kong RGC grant ECS 26301517 (HKD 745,902+100,000(Educational Activities))
Brief Curriculum Vitae:
Since 2022.7: Associate Professor at HKUST
2016-2022: Assistant Professor at HKUST
2014-2016: Postdoc at IST Austria, supported by ERC Advanced Grant RANMAT, No. 338804
2011-2012: Project Officer at School of Physical and Mathematical Sciences, Nanyang Technological University
-Advisor: Prof. Zhonggen Su
2004-2008: B.S., Department of Mathematics, Zhejiang University