My name is Liying Li. I am a postdoctoral assistant professor at University of Michigan. My mentor is Jinho Baik.

I received my BS degree in 2014 from Peking Univeristy. I received my PhD degree in 2019 from Courant Institute, NYU under the supervision of Yuri Bakhtin.

My primary research interest is in the field of probability. I am particularly interested in models related to the Kardar–Parisi–Zhang (KPZ) universality class, including stochastic Burgers/Hamilton–Jacobi equations, first-/last-passage percolations (FPP/LPP), directed polymers, etc.

Here are my cv and research statement.

Research papers

Khanin Konstatin, Liying Li, Zhanghan Yin, Point fields of last-passage percolation and coalescing fractional Brownian motions, https://arxiv.org/abs/2112.02247, Phys. Rev. E 105, 064127

Khanin Konstatin, Liying Li, On asymptotic behavior of iterates of piecewise constant monotone maps, https://arxiv.org/abs/2110.09731

Khanin Konstatin, Liying Li, On end-point distribution for directed polymers and related problems for random forced Burgers equation, Phil. Trans. R. Soc. A. 380: 20210081

Yuri Bakhtin, Liying Li, Strongly mixing smooth planer vector field without asymptotic directions, https://arxiv.org/abs/1903.02733

Yuri Bakhtin, Liying Li, Weakly mixing smooth planer vector field without asymptotic directions, https://arxiv.org/abs/1808.05544, Proc. Amer. Math. Soc., 148 (2020),4733-4744

Yuri Bakhtin, Liying Li, Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation, https://arxiv.org/abs/1706.09950, J. Stat. Phys. 172, 1358-1397 (2018)

Yuri Bakhtin, Liying Li, Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation, https://arxiv.org/abs/1607.04864, Comm. Pure Appl. Math., 72(3), (2019), 536-619

Zhiyi You, Liying Li, Jianfeng Lu, Hao Ge, Integrated tempering enhanced sampling method as the infinite switching limit, https://arxiv.org/abs/1806.00725, J. Chem. Phys., 149, 084114 (2018)