Li‑Cheng Tsai

My curriculum vitae.

Research interests: Probability theory, particularly the asymptotic behaviors of large interacting particle systems, and the interplay among partial differential equations (PDEs), stochastic PDEs, and integrable probability.

My research is supported by the Sloan Research Fellowship and the National Science Foundation through DMS-2243112. I was an awardee of the 2020 Bernoulli Society New Researcher Award.

I am currently an Associate Editor of the Journal of Statistical Physics.

Before joining Utah, I was a tenure-track Assistant Professor at Rutgers University (2019–2022). I conducted postdoctoral research at Columbia University as a Junior Fellow of the Simons Society of Fellows (2016–2019). I obtained my Ph.D. in Mathematics at Stanford University in 2016.

Publications

See also Google Scholar.

Preprint

1. Spacetime limit shapes of the KPZ equation in the upper tails [arXiv]
   with Yier Lin.
2. High moments of the SHE in the clustering regimes [arXiv]
3. Hydrodynamic large deviations of TASEP [arXiv]
   with Jeremy Quastel.

Published / To appear

1. A lower-tail limit in the weak noise theory [arXiv]
   with Yier Lin. To appear in Annales de l'Institut Henri Poincaré
2. Integrability in the weak noise theory [arXiv]
   Trans. Amer. Math. Soc. 376, 6521–6572, 2023
3. KPZ equation with a small noise, deep upper tail and limit shape [arXiv]
   with Pierre Yves Gaudreau Lamarre and Yier Lin. Probab. Theory Related Fields. 185 885–920, 2023 [ePDF]
4. Exact lower-tail large deviations of the KPZ equation [arXiv]
   Duke Math. J. 171 (9) 1879–1922, 2022
5. Short time large deviations of the KPZ equation [arXiv][MR]
   with Yier Lin. Comm. Math. Phys. 386 (1) 359–393, 2021
6. Fractional moments of the Stochastic Heat Equation [arXiv][MR]
   with Sayan Das. Ann. Inst. Henri Poincare (B) Probab. Stat. 57(2) 778–799, 2021
7. Moments of the 2D SHE at criticality [arXiv][MR]
   with Yu Gu and Jeremy Quastel. Probability and Mathematical Physics 2(1) 179–219, 2021
8. SPDE Limit of Weakly Inhomogeneous ASEP [arXiv][MR]
   with Ivan Corwin. Electron. J. Probab. 25 1–55, 2020
9. Stochastic PDE Limit of the Six Vertex Model [arXiv][MR]
   with Ivan Corwin, Promit Ghosal, and Hao Shen. Comm. Math. Phys. 375 1945–2038, 2020
10. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv][MR]
    with Yu Gu. Ann. Appl. Probab. 29(5) 3037–3061, 2019
11. Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv][MR]
    with Hao Shen. Proceedings of the AMS 147(6) 2685–2705, 2019
12. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv][MR]
    with Stefano Olla. Electron. J. Probab. 24(16) 1–71, 2019
13. Criticality of a randomly-driven front [arXiv][MR]
    with Amir Dembo. Arch. Rational Mech. Anal. 233(2), 643–699, 2019 [ePDF]
14. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.
    Phys. Rev. Lett. 121(6) 060201, 2018
15. Stationary Distributions of the Atlas Model [arXiv][MR]
    Electron. C. Probab. 23(10) 1–10, 2018
16. ASEP(q,j) converges to the KPZ equation [arXiv][MR]
    with Ivan Corwin and Hao Shen. Ann. Inst. Henri Poincare (B) Probab. Stat. 54(2) 995–1012, 2018
17. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv][MR]
    with Wenpin Tang. Ann. Prob. 46(3) 1597–1650, 2018
18. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron. J. Probab. 22(56) 1–20, 2017
19. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann. Prob. 45(6B) 4529–4560, 2017
20. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann. Prob. 45(3) 1771–1798, 2017
21. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR]
    Probab. Theory Related Fields. 166(3) 801–850, 2016 [ePDF]
22. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm. Math. Phys. 341(1) 219–261, 2016
23. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328(2) 421–480, 2014
24. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318(2) 375–409, 2013
25. Viscous shock propagation with boundary effect [MR]
    Bull. Inst. Math. Acad. Sin. (N.S.) 6(1) 1–25, 2011