Welcome!

Current/previous Position and education:

(Current) Postdoctoral Research Associate at The University of Edinburgh. Mentor: Tadahiro Oh.

(August 2018 to May 2021): Black-Babcock visiting assistant professor at University of Kansas. Postdoc mentor: David Nualart. 

(April 2-July 26, 2018) Research fellow in probability at The University of Melbourne within the research group of Andrew Barbour, Nathan Ross and Aihua Xia.

(September 1,2015 – March 28, 2018) Ph.D student at Université du Luxembourg, supervised by Ivan Nourdin.   

(Sept. 2014-June 2015) M2 (Probabilités et Statistiques) student at Université Paris-Sud, Orsay supported by Fondation Mathématiques Jacques Hadamard

(September 2007 – June 2011) Undergraduate student in the school of Economics and management, Wuhan University. 


Research interest: nonlinear dispersive PDEs, SPDEs, Malliavin calculus, Stein’s method, fractional Brownian motion, local time, limit theorems, random matrix theory

Preprints:

[5] Stein’s method, Gaussian processes and Palm measures, with applications to queuing, joint work with Andrew D. Barbour and Nathan Ross. arXiv. link

[4] Quantitative central limit theorems for the parabolic Anderson model driven by colored noise, joint work with David Nualart and Panqiu Xia. submitted. arXiv link

[3] A simplified second-order Gaussian Poincaré inequality in discrete setting with applications, joint work with Peter Eichelsbacher, Benedikt Rednoß and Christoph Thäle. Submitted. arXiv link

[2] Stein’s method, smoothing and functional approximation, joint work with Andrew D. Barbour and Nathan Ross. Submitted. arXiv file.

[1] The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications, joint work with Raluca Balan, David Nualart and Lluís Quer-Sardanyons. Submitted. arXiv file

Selected publications: Link to all  arXiv preprints.

[6] Averaging 2D Stochastic wave equation, joint work with Raul Bolaños Guerrero and David Nualart. Electron. J. Probab. 26 (2021), article no. 102, 1–32. arXiv file & journal version

[5] A central limit theorem for the stochastic wave equation with fractional noise, joint work with Francisco Delgado-Vences and David Nualart. Ann. Inst. Henri Poincaré Probab. Stat. 2020, Vol. 56, No. 4, 3020–3042 arXiv file & journal version.

[4] The probability of Intransitivity in Dice and Close Elections, joint work with Jan Hązła, Elchanan Mossel, Nathan Ross. (2020) Probab. Theory Relat. FieldsarXiv file & Journal version

[3] Averaging Gaussian functionals, joint work with David Nualart. Electron. J. Probab. 25 (2020), no. 48, 1–54. arXiv file & Journal version

[2] Almost sure convergence on chaoses, joint work with Guillaume Poly.  Proc. Amer. Math. Soc. Volume 147, Number 9, September 2019, Pages 4055–4065. Journal versionarXiv file.

[1] Fourth moment theorems on the Poisson space in any dimensionjoint work with Christian Döbler and Anna Vidotto.  Electron. J. Probab. Vol. 23 (2018), paper no. 36, 27 pp.  Journal version & arXiv file


Some Links:

  • A webpage on Malliavin-Stein approach (maintained by Ivan Nourdin): link
  • The Probability Group of Victoria, Australia: link
  • My friends: Anna, Maurizia

(Douby Zhang in the pictures)