Publications
Publications
Large gaps of CUE and GUE (with D. Wei)
Annals of Probability, 53(5): 1668-1702 (2025).
Critical radii and suprema of random waves over Riemannian manifolds (with D. Yao and R. Adler)
arXiv:2501.10798, submitted.
Smallest gaps between zeros of stationary Gaussian processes (with D. Yao and F. Götze)
Journal of Functional Analysis, Volume 287, Issue 4, August 15, 2024, 100493.
Small gaps of GSE (with J. Li and D. Yao)
arXiv:2409.03324, submitted.
Smallest distances between zeros of Gaussian analytic functions (with D. Yao)
Preprint, 2024, available upon request, submitted.
U-statistics of infinite Ginibre ensemble and Wiener chaos (with D. Yao)
Preprint, 2022.
Determinantal point processes on spheres: multivariate linear statistics (with F. Götze and D. Yao)
arXiv:2301.09216, submitted.
Principal minors of Gaussian orthogonal ensemble (with G. Tian, D. Wei, and D. Yao)
Submitted.
The Berry-Esseen theorem for circular β-ensemble (with G. Tian and D. Wei)
Annals of Applied Probability, 33(6B): 5050–5070 (2023).
Small gaps of circular β-ensemble (with D. Wei)
Annals of Probability, 49(2): 997–1032 (2021).
Small gaps of GOE (with G. Tian and D. Wei)
GAFA, 29 (2019), no. 6, 1794–1827.
Spectrum of SYK model (with G. Tian and D. Wei)
Peking Mathematical Journal, 2, 41–70 (2019).
Spectrum of SYK model II: Central limit theorem (with G. Tian and D. Wei)
Random Matrices: Theory and Applications, 10(04), 2150037 (2021).
Spectrum of SYK model III: Large deviations and concentration of measures (with G. Tian and D. Wei)
Random Matrices: Theory and Applications, 09(02), 2050001 (2020).
Extreme gap problems in random matrix theory
Surveys in Geometric Analysis, Volume 3 (2019), 19.
Zeros of repeated derivatives of random polynomials (with D. Yao)
Analysis & PDE, 12(6), 1489–1512 (2019).
Critical radius and supremum of random spherical harmonics (with R. Adler)
Annals of Probability, 47(2), 1162–1184 (2019).
Correlations between zeros and critical points of random analytic functions
Transactions of the AMS, 371(8), 5247–5265 (2019).
Critical radius and supremum of random spherical harmonics II (with X. Xu and R. Adler)
Electronic Communications in Probability, 23, paper no. 50, 11 pp. (2018).
Conditional expectations of random holomorphic fields on Riemann surfaces
IMRN, 2017(14), 4406–4434.
Critical values of Gaussian SU(2) random polynomials (with Z. Wang)
Proceedings of the American Mathematical Society, Vol. 144, No. 2 (2016), pp. 487–502.
Critical values of random analytic functions on complex manifolds (with S. Zelditch)
Indiana University Mathematics Journal, 63(3), 651–686 (2014).
Addendum to “Critical Values of Random Analytic Functions on Complex Manifolds” (with S. Zelditch)
Indiana University Mathematics Journal, Vol. 66, No. 1 (2017), pp. 23–29.
Median and mean of the supremum of L2L^2L2-normalized random holomorphic fields (with S. Zelditch)
Journal of Functional Analysis, 266(8), 5085–5107 (2014).
Random Riesz energies on compact Kähler manifolds (with S. Zelditch)
Transactions of the AMS, 365(10), 5579–5604 (2013).
Large deviations for zeros of P(ϕ)2P(\phi)_2P(ϕ)2 random polynomials (with S. Zelditch)
Journal of Statistical Physics, 143(4), 619–635 (2011).
Bergman metrics and geodesics in the space of Kähler metrics on principally polarized abelian varieties
Journal of the Institute of Mathematics of Jussieu, 11(1), 1–25 (2012).
The global existence and convergence of the Calabi flow on C^n/Z^n+iZ^n (with H. Huang)
Journal of Functional Analysis, 263(4), 1129–1146 (2012).
Szasz analytic functions and noncompact Kähler toric manifolds
Journal of Geometric Analysis, 22(1), 107–131.
Periodic solutions of Abreu's equation (with G. Szekelyhidi)
Mathematical Research Letters, 18(6), 1271–1279 (2011).
Zeros and Critical Points of Random Fields
PhD thesis, Northwestern University, 2012.