Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes. With Chenlin Gu, Jianping Jiang, Yuval Peres, Zhan Shi, and Hao Wu, 2024. Preprint, arXiv:2407.15162.
Speed of random walk on dynamical percolation in nonamenable transitive graphs. With Chenlin Gu, Jianping Jiang, Yuval Peres, Zhan Shi, and Hao Wu, 2024. Preprint, arXiv:2407.15079.
Eigenvector distributions and optimal shrinkage estimators for large covariance and precision matrices. With Xiucai Ding and Yun Li, 2024. Preprint, arXiv:2404.14751.
A random matrix model towards the quantum chaos transition conjecture. With Bertrand Stone and Jun Yin, 2023. Preprint, arXiv:2312.07297.
Debiased regression adjustment in completely randomized experiments with moderately high-dimensional covariates. With Xin Lu and Yuhao Wang, 2023. Preprint, arXiv:2309.02073.
SIMPLE-RC: Group network inference with non-sharp nulls and weak signals. With Jianqing Fan, Yingying Fan and Jinchi Lv, 2022. Preprint, arXiv:2211.00128.
Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization. With Horng-Tzer Yau and Jun Yin, 2021. Preprint, arXiv:2104.12048.
Precise High-Dimensional Asymptotics for Quantifying Heterogeneous Transfers. With Hongyang R. Zhang, Sen Wu, Christopher Ré, and Weijie J. Su, 2020. Preprint, arXiv:2010.11750.
Linear spectral statistics of eigenvectors of anisotropic sample covariance matrices. Accepted by Annales de l’Institut Henri Poincaré Probab. Statist. Arxiv
Pearcey universality at cusps of polygonal lozenge tilings. With Jiaoyang Huang and Lingfu Zhang. Communications on Pure and Applied Mathematics, Vol. 77 (2024): pp 3708-3784. Arxiv
Bulk universality and quantum unique ergodicity for random band matrices in high dimensions. With Changji Xu, Horng-Tzer Yau and Jun Yin. Annals of Probability, Vol. 52 (2024): pp 765-837. Arxiv
Sample canonical correlation coefficients of high-dimensional random vectors with finite rank correlations. With Zongming Ma. Bernoulli, Vol. 29 (2023): pp 1905-1932. Arxiv
Optimally weighted PCA for high-dimensional heteroscedastic data. With David Hong, Jeffrey A. Fessler and Laura Balzano. SIAM Journal on Mathematics of Data Science, Vol. 5 (2023): pp 222-250. Arxiv
Delocalization and quantum diffusion of random band matrices in high dimensions II: T-expansion. With Horng-Tzer Yau and Jun Yin. Communications in Mathematical Physics, Vol. 396 (2022): pp 527-622. Arxiv
Limiting distribution of the sample canonical correlation coefficients of high-dimensional random vectors. Electronic Journal of Probability, Vol. 27 (2022): paper no. 86, 71 pp. Arxiv
Tracy-Widom distribution for heterogeneous Gram matrices with applications in signal detection. With Xiucai Ding. IEEE Transactions on Information Theory, Vol. 68 (2022): pp 6682-6715. Arxiv
Edge statistics of large dimensional deformed rectangular matrices. With Xiucai Ding. Journal of Multivariate Analysis, Vol. 192 (2022): paper no. 105051. Arxiv
Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit. Random Matrices: Theory and Applications, Vol. 11 (2022): paper no. 2250007. Arxiv
How to reduce dimension with PCA and random projections? With Sifan Liu, Edgar Dobriban, and David P. Woodruff. IEEE Transactions on Information Theory, Vol. 67 (2021): pp 8154-8189. Arxiv
Random band matrices in the delocalized phase, III: Averaging fluctuations. With Jun Yin. Probability Theory and Related Fields, Vol. 179 (2021): pp 451–540. Arxiv
Spiked separable covariance matrices and principal components. With Xiucai Ding. Annals of Statistics, Vol. 49 (2021): pp 1113-1138. Arxiv
Convergence of eigenvector empirical spectral distribution of sample covariance matrices. With Haokai Xi and Jun Yin. Annals of Statistics, Vol. 48 (2020): pp 953-982. Arxiv
Random band matrices in the delocalized phase, II: Generalized resolvent estimates. With Paul Bourgade, Horng-Tzer Yau, and Jun Yin. Journal of Statistical Physics, Vol. 174 (2019): pp 1189-1221. Arxiv
Edge universality of separable covariance matrices. Electronic Journal of Probability, Vol. 24 (2019): paper no. 123, 57 pp. Arxiv
A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices. With Xiucai Ding. Annals of Applied Probability, Vol. 28 (2018): pp 1679-1738. Arxiv
Local circular law for the product of a deterministic matrix with a random matrix. With Haokai Xi and Jun Yin. Electronic Journal of Probability, Vol. 22 (2017): paper no. 60, 77 pp. Arxiv
Geometric diffusion of quantum trajectories. Fan Yang and Ren-Bao Liu. Scientific Reports, Vol. 5 (2015): 12109.
Nonlinear optical response induced by non-Abelian Berry curvature in time-reversal-invariant insulators. Fan Yang and Ren-Bao Liu. Phys. Rev. B, Vol. 90 (2014): 245205.
Giant Faraday rotation induced by the Berry phase in bilayer graphene under strong terahertz fields. Fan Yang, Xiaodong Xu, and Ren-Bao Liu. New J. Phys., Vol. 16 (2014): 043014.
Terahertz electron-hole recollisions in GaAs/AlGaAs quantum wells: robustness to scattering by optical phonons and thermal fluctuations. Hunter Banks, Ben Zaks, Fan Yang, Shawn Mack, Arthur C. Gossard, Renbao Liu, and Mark S. Sherwin. Phys. Rev. Lett., Vol. 111 (2013): 267402.
Berry phases of quantum trajectories of optically excited electron-hole pairs in semiconductors under strong terahertz fields. Fan Yang and Ren-Bao Liu. New J. Phys., Vol. 15 (2013): 115005.
A note on the definition of fractional derivatives applied in rheology. Fan Yang and Ke-Qin Zhu. Acta Mech. Sin., Vol. 27 (2011): pp 866-876.
On the definition of fractional derivatives in rheology. Fan Yang and Ke-Qin Zhu. Theor. Appl. Mech. Lett., Vol. 1 (2011): 012007.
Can we obtain a fractional Lorenz system from a physical problem? Fan Yang and Ke-Qin Zhu. Chin. Phys. Lett., Vol. 27 (2010): 124701.
Generalized Lorenz equation derived from thermal convection of viscoelastic fluids in a loop. Fan Yang and Ke-Qin Zhu. Chin. Phys. Lett., Vol. 27 (2010): 034601.
The smallest singular value of deformed random rectangular matrices. Preprint, arXiv:1702.04050.