Guangqu Zheng

…Hi…

[Pictures with Douby]

From 2024 fall: Tenure-track assistant professor at Department of  Mathematics and Statistics, Boston University (faculty profile)

665 Commonwealth Ave, office CDS 429, Boston, MA 02215

Email: gzheng90@bu.edu

For the 2025/26 academic year, I am in charge of the

Statistics and Probability Seminar series at BU

Teaching/advising at BU

Research interests

• Malliavin calculus, Gaussian analysis
• Stein’s method, limit theorems
• (Singular) SPDEs
• Rough path theory
• Machine learning, Bayesian statistics

Links to all→arXiv preprints and google scholar profile

Preprints:

• 1. Hyperbolic P(φ)₂-model on the plane (jointly with T. Oh, L. Tolomeo, and Y. Wang) arXiv link
  2. Pathwise well-posedness of the stochastic nonlinear Schrödinger equation with multiplicative noises (jointly with T. Oh)
  3. Almost sure central limit theorems via chaos expansions and related results (with L. Maini and M. Rossi) arXiv link
  4. Functional second-order Gaussian Poincaré inequalities (with A. Vidotto) arXiv link
  5. Central limit theorem for stochastic nonlinear wave equation with pure-jump Lévy white noise (with R.M. Balan) arXiv link

Publications/in press:

1. On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint (jointly with G. Li and T. Oh)  Trans. London Math. Soc. 12 (2025), no. 1, Paper No. e70005; arXiv link
2. Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises (jointly with P. Xia) J. Theor. Probab. Vol. 38, no.46 (2025).  arXiv link
3. Almost sure central limit theorem for the hyperbolic Anderson model with Lévy white noise (jointly with R.M. Balan and P. Xia) Proc. Amer. Math. Soc. Vol. 153, no.7 (2025) arXiv link
4. Hyperbolic Anderson model with Lévy white noise: spatial ergodicity and fluctuation, (jointly with R.M. Balan) Trans. Amer. Math. Soc. 377 (2024), 4171-4221, arXiv link
5. Stein’s method, smoothing and functional approximation (joint with A. D. Barbour and N. Ross) Electronic Journal of Probability 29 (2024) 1-29, arXiv link
6. Stein’s method, Gaussian processes and Palm measures, with applications to queuing (joint with A. D. Barbour and N. Ross) Ann. Appl. Probab. 33(5): 3835-3871 (2023), arXiv link
7. Quantitative central limit theorems for the parabolic Anderson model driven by colored noise (joint with D. Nualart and P. Xia) Electron. J. Probab. 27, 1-43 (2022) arXiv link
8. A simplified second-order Gaussian Poincaré inequality in discrete setting with applications (joint with P. Eichelsbacher, B. Rednoß, and Ch. Thäle) Ann. Inst. H. Poincaré Probab. Statist. 59(1): 271-302 (2023) arXiv link
9. The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications (joint with R. Balan, D. Nualart and L. Quer-Sardanyons) Stoch PDE: Anal Comp 10, 757-827 (2022) arXiv link
10. Asymptotic behavior of large Gaussian correlated Wishart matrices (joint with I. Nourdin) J. Theor. Probab. 35, pp. 2239–2268 (2022) arXiv link
11. Spatial averages for the parabolic Anderson model driven by rough noise (pdf) (joint with D. Nualart and X. Song) ALEA, Lat. Am. J. Probab. Math. Stat. 18 (2021) arXiv link
12. Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3 (joint with D. Nualart) Electron. Commun. Probab, 25, 1-11 (2020) arXiv link
13. Central limit theorems for stochastic wave equations in dimensions one and two (joint with D. Nualart) Stoch PDE: Anal Comp, 10, 392–418 (2022) arXiv link
14. Averaging 2D Stochastic wave equation (joint with R. Bolaños-Guerrero and D. Nualart) Electron. J. Probab. 26 (2021) arXiv link
15. Oscillatory Breuer-Major theorem with application to the random corrector problem(joint with D. Nualart) Asymptotic Analysis, 119 (2020) arXiv link
16. Averaging Gaussian functionals (joint with D. Nualart). Electron. J. Probab. 25 (2020) arXiv link
17. Gaussian fluctuations for the stochastic heat equation with colored noise (joint with J. Huang, D. Nualart and L. Viitasaari) Stoch PDE: Anal Comp. 8 (2020) arXiv link
18. A Central Limit Theorem for the stochastic wave equation with fractional noise (joint with F. Delgado-Vences and D. Nualart) Ann. Inst. H. Poincaré Probab. Statist. 56 (2020) arXiv link
19. Almost sure convergence on chaoses (joint with G. Poly)  Proc. Amer. Math. Soc. 147 (2019) arXiv link
20. The probability of Intransitivity in Dice and Close Elections (joint with J. Hązła, E. Mossel, N. Ross) Probab. Theory Relat. Fields. 178 (2020)  arXiv link
21. A Peccati-Tudor type theorem for Rademacher chaoses. ESAIM: PS 23 (2019) arXiv link
22. Fourth moment theorems on the Poisson space in any dimension (joint with C. Döbler and A. Vidotto)  Electron. J. Probab. 23 (2018) arXiv link
23. Exchangeable pairs on Wiener chaos (joint with I. Nourdin) Ch14 in: High dimensional Probability VIII, Progress in Probability 74. Edited by N. Gozlan and R. Latała, K. Lounici, M. Madiman, Springer (2019) arXiv link
24. Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization (joint with A. Lechiheb, I. Nourdin and E. Haouala) Probab. Math. Statist. 38 (2018), no. 2, 271–286  arXiv link
25. Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals. Stochastic Process. Appl. 127 (2017), no. 5, 1622–1636 arXiv link

Ph.D. thesis (2018): Recent developments around Malliavin-Stein approach – fourth moment phenomena via exchangeable pairs (pdf) (defended on March 28, 2018, Université du Luxembourg, advisor: Ivan Nourdin)