Research

Preprints

12. A lower-tail limit in the weak noise theory (with Li-Cheng Tsai), 2022 [arXiv:2210.05629] Submitted

11. Long and short time laws of iterated logarithms for the KPZ fixed point (with Sayan Das and Promit Ghosal), 2022 [arXiv:2207.04162] Submitted

10. Classification of Stationary distributions for the stochastic vertex models, 2022 [arXiv:2205.10654] Submitted

9. KPZ equation with a small noise, deep upper tail and limit shape (with Pierre Yves Gaudreau Lamarre and Li-Cheng Tsai), 2021, [arXiv:2106.13313] Submitted

Published / To appear

8. Hydrodynamics of the t-PNG model via a colored t-PNG model (with Hindy Drillick), 2022, [arXiv:2204.11158] To appear in Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (2022+)

7. Lyapunov exponents of the SHE for general initial data (with Promit Ghosal) [arXiv:2007.06505] To appear in Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (2022+)

6. Lyapunov exponents of the half-line SHE, 2020, Journal of Statistical Physics 183, Article number: 37 (2021) [arXiv:2007.10212] [journal version]

5. Short time large deviations of the KPZ equation (with Li-Cheng Tsai). Communications in Mathematical Physics (2021), 386, 359–393 [arXiv:2009.10787] [journal version]

4. The stochastic telegraph equation limit of the stochastic higher spin six vertex model. Electronic Journal of Probability (2020), Vol. 25, no. 148, 1-30. [arXiv:2005.00620] [journal version]

3. KPZ equation limit of stochastic higher spin six vertex model. Mathematical Physics, Analysis and Geometry (2020), Vol 23, no. 1, 1-118 [arXiv:1905.11155] [journal version]

2. Markov duality for stochastic six vertex model Electronic Communications in Probability (2019), Vol 24, no. 67, 1-17 [arXiv:1901.00764] [journal version]

1. Second order behavior of the block counting process of beta coalescents (with Bastien Mallein) Electronic Communications in Probability (2017), Vol 22, no. 61, 1-8 [arXiv:1606.06998] [journal version]

My PhD thesis

Large deviations of the KPZ equation, Markov duality and SPDE limits of the vertex models