副教授
单位：清华大学丘成桐数学科学中心
办公地点：宁斋W02
电子邮箱：fyangmath@tsinghua.edu.cn
概率和统计，主要关注随机矩阵理论及其在数学物理、高维统计、机器学习等领域内的应用。
2005-2009 学士 清华大学
2010-2014 博士(物理) 香港中文大学
2014-2017 硕士 威斯康星大学麦迪逊分校
2017-2019 博士 加利福尼亚大学洛杉矶分校
2022 至今 副教授 清华大学丘成桐数学科学中心
2019-2022 博士后 宾夕法尼亚大学
[1] C. Xu, F. Yang, H.-T. Yau and J. Yin. Bulk universality and quantum unique ergodicity for random band matrices in high dimensions. arXiv preprint arXiv:2207.14533 (2021).
[2] F. Yang, H.-T. Yau and J. Yin. Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization. arXiv preprint arXiv:2104.12048 (2021).
[3] F. Yang, H.-T. Yau and J. Yin. Delocalization and quantum diffusion of random band matrices in high dimensions II: T-expansion. arXiv preprint arXiv:2107.05795 (2021). Accepted by Communications in Mathematical Physics.
[4] F. Yang and J. Yin. Random band matrices in the delocalized phase, III: averaging fluctuations. Probability Theory and Related Fields 179 (2021): 451–540.
[5] X. Ding and F. Yang. Spiked separable covariance matrices and principal components. Annals of Statistics 49 (2021): 1113–1138.
[6] H. Xi, F. Yang and J. Yin. Convergence of eigenvector empirical spectral distribution of sample covariance matrices. Annals of Statistics 48 (2020): 953–982.
[7] F. Yang, S. Liu, E. Dobriban and D. P. Woodruff. How to reduce dimension with PCA and random projections? IEEE Transactions on Information Theory 67 (2021): 8154–8189.
[8] X. Ding and F. Yang. A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices. Annals of Applied Probability 28 (2018): 1679–1738.
