My English website: https://ycl95.github.io/YuchenLiao/

Publication:

1. Lower tail large deviations of the stochastic six vertex model
   with S. Das and M. Mucciconi
   International Mathematics Research Notices, Volume 2025, Issue 18, September 2025.

2. Large deviations for the $q$-deformed polynuclear growth     

   with S. Das and M. Mucciconi

   Ann. Probab. 53(4), 1223-1286 (2025).

3. Moment intermittency in the PAM with asymptotically singular noise
   with P.Y. Gaureau Lamarre and P. Ghosal
   Trans. Amer. Math. Soc. 376(10), 7235–7286 (2023).

4. Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point
   with E. Bisi, A. Saenz, and N. Zygouras
   Comm. Math. Phys. 402(1), 285–333 (2023).

5. Rigidity of the stochastic Airy operator
   with P.Y. Gaureau Lamarre, P. Ghosal, and W. Li
   Int. Math. Res. Not. 2023(24), 20701–20724 (2023).

6. Multi-point distribution of discrete time periodic TASEP
   Probab. Theory Relat. Fields 182(3–4), 1053–1131 (2022).

7. On spatial conditioning of the spectrum of discrete random Schrödinger operators
   with P.Y. Gaureau Lamarre and P. Ghosal
   J. Spectr. Theory 12(3), 1109–1153 (2022).

8. Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas
   with P.Y. Gaureau Lamarre and P. Ghosal
   Ann. Henri Poincaré 21(7), 2259–2299 (2020).

   
   

Preprint:

  1. Multipoint distributions of the KPZ fixed point with compactly supported initial conditions

      with Z. Liu
      Preprint, arXiv:2509.03246[math.PR] (2025).