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 2026/27 academic year, I am in charge of the

Statistics and Probability Seminar series at BU

Advising at BU

For undergraduate/Master students: you are expected to know real analysis and probability theory (equivalent to  MA711, MA783  at BU); as of now, I have suitable projects on Poisson point processes (ref1), Stein’s method (ref2). Please do not hesitate to contact me (with your intention and a brief CV) if you are interested.

For PhD students: you are expected to be interested in stochastic analysis.

Teaching at BU

2026 Fall: (Link→previous teaching)

CASMA 581  (MA581(26Fall) syllabus v2)

    • Lecture Time:  MoWe 12:20PM – 1:35PM
    • Classroom: 765 Commonwealth Ave LAW AUD
    • Office hours: MoWe 1:45-3:00PM at CDS 429; email me for additional time slots.
    • Textbook (recommended): “Introduction to Probability” by Anderson, Seppalainen, and Valkó.

CASMA 783: Advanced Stochastic Processes

  • Lecture Time:  TuTh 11:00AM – 12:15PM
  • Classroom: EOP 279
  • Office hours: MoWe 1:45-3:00PM at CDS 429; email me for additional time slots.
  • Textbook (recommended): XXXX
More information about the course will be available at http://learn.bu.edu/

Research interests

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

Links to all→arXiv preprints and google scholar profile

Preprints:

    1. Pathwise well-posedness of the stochastic nonlinear Schrödinger equation with multiplicative noises (jointly with T. Oh)
    2. Functional second-order Gaussian Poincaré inequalities (with A. Vidotto) arXiv link
    3. The coalescence and exit time of O’Connell-Yor polymers via Gaussian integration by parts (with F. Rassoul-Agha, X. Shen, and R. Zhang)
    4. Second-order Gaussian  Poincaré inequalities in Banach spaces (with S. Bourguin, S. Campese, and A. Vidotto) 
    5. Hyperbolic and parabolic Anderson model driven by spatial rough fractional Gaussian fields (with X. Wang and P. Xia)
    6. Breuer-Major-Donsker invariance principle (with P. Mansanarez and G. Poly) arXiv link

Selected Publications (for all –> Pub. list)

  1. Almost sure central limit theorems via chaos expansions and related results (with L. Maini and M. Rossi) to appear in: Trans. Amer. Math. Soc.; arXiv link
  2. Hyperbolic P(φ)2-model on the plane (jointly with T. Oh, L. Tolomeo, and Y. Wang) Commun. Math. Phys. 407, 34 (2026); arXiv link
  3. 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
  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 [Lemma 2.5(i) is wrong as stated; Lemma 2.5(ii) is correct and does not need (i).]
  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. 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
  8. Averaging 2D Stochastic wave equation (joint with R. Bolaños-Guerrero and D. Nualart) Electron. J. Probab. 26 (2021) arXiv link
  9. 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
  10. 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
  11. Fourth moment theorems on the Poisson space in any dimension (joint with C. Döbler and A. Vidotto)  Electron. J. Probab. 23 (2018) 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)

 

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