Research

Preprints

• Multi-point Lyapunov exponents of the Stochastic Heat Equation, 2023
[arXiv], Submitted

• Spacetime limit shapes of the KPZ equation in the upper tails (with Li-Cheng Tsai), 2023
[arXiv] Submitted

• Strong law of large numbers for the stochastic six vertex model (with Hindy Drillick), 2022
[arXiv] Submitted

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

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

Published / To appear

• Classification of Stationary distributions for the stochastic vertex models
To appear in Electronic Journal of Probability (2023+) [arXiv]

• Hydrodynamics of the t-PNG model via a colored t-PNG model (with Hindy Drillick)
To appear in Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (2023+) [arXiv]

• KPZ equation with a small noise, deep upper tail and limit shape (with Pierre Yves Gaudreau Lamarre and Li-Cheng Tsai)
Probability Theory and Related Fields (2023), Vol. 185, 885–920 [arXiv] [journal]

• Lyapunov exponents of the SHE for general initial data (with Promit Ghosal)
Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (2023), Vol. 59, No. 1, 476–502 [arXiv] [journal]

• Lyapunov exponents of the half-line SHE
Journal of Statistical Physics (2021), Vol. 183, no. 37  [arXiv] [journal]

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

• 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] [journal]

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

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

• 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] [journal]