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Dr Weijun Xu

  Xu

Weijun Xu

EPSRC Research Fellow
 
Office: B1.16
Phone: +44 (0)24 761 50691
 Email: Weijun dot Xu at warwick dot ac dot uk


Teaching Responsibilities 2016/17:
Term 1: MA4A2 Advanced PDEs


I am a postdoctoral researcher in mathematics at Warwick. I graduated from Oxford in 2013.

Research interests: Stochastic PDEs, probability, rough paths.

Preprints:

  • Moments of 2D parabolic Anderson model, with Y. Gu, 2017. Arxiv.
  • Signature inversion for monotone paths, with J. Chang, N. Duffield, H. Ni, 2016. Arxiv.
  • Weak universality of dynamical $\Phi^4_3$: non-Gaussian noise, with H. Shen, 2016. Arxiv.

Publications:

  • Large scale behaviour of 3D continuous phase coexistence models, with M. Hairer, to appear in Communications on Pure and Applied Mathematics. Arxiv.
  • Inverting the signature of a path, with T. Lyons, to appear in Journal of the European Mathematical Society. Arxiv.
  • Hyperbolic development and inversion of signature, with T. Lyons, Journal of Functional Analysis, Vol.272, Issue 7, 2933–2955, 2017. Arxiv.
  • Concentration and exact convergence rates for expected Brownian signatures, with H. Ni, Electronic Communications in Probability, Vol.20, 1-11, 2015. Arxiv.
  • A simple proof of distance bounds for Gaussian rough paths, with S. Riedel, Electronic Journal of Probability, Vol.18, 1-22, 2013. Arxiv.
  • A uniform estimate for rough paths, with T. Lyons, Bulletin des Sciences Mathematiques, Vol.137, Issue 7, 867-879, 2013. Arxiv.
  • On number of turns in reduced random lattice paths, with Y. Jiang, Journal of Applied Probability, Vol.50, No.2, 499-515, 2013. Arxiv.
Notes:
Past Teaching:
Stochastic PDEs, TCC course, 2014/15.
MA433, Fourier Analysis, 2014/15.