Xuan Wu

I am a Dickson instructor in the Mathematics Department of University of Chicago. This is my curriculum vitae.

My research interest lies in integrable probability, particularly asymptotic analysis of stochastic integrable systems with a focus on their interplay between random matrix theory, statistical physics and stochastic partial differential equations.

Contact

Email: xuanw@uchicago.edu
Department of Mathematics, University of Chicago
Office: Eckhart 319.

Papers and preprints

  1. Determinantal structures for Bessel fields, with L. Benigni, P.K. Hung, preprint (2021).
  2. The Bessel line ensemble , with G. Lawler, preprint (2021).
  3. Tightness of ($H,H^{RW}$)-Gibbsian line ensembles, with E. Dimitrov, preprint (2021).
  4. Brownian regularity for the KPZ line ensemble, preprint (2021).
  5. Convergence of the KPZ line ensemble, preprint (2021).
  6. KMT coupling for random walk bridges, with E. Dimitrov, Probability Theory and Related Fields (2021).
  7. Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians, preprint (2020).
  8. Intermediate disorder regime for half-space directed polymers, Journal of Statistical Physics (2020).
  9. Concavity of the Lagrangian phase operator and applications, with T. Collins, S. Picard, Calculus of Variations and Partial Differential Equations (2017).