Faculty > Professors > LI Liying
LI Liying
Associate Professor
- Brief Biography
- Research
- Teaching
- Published Works
Research Interest
Probability, Ergodic theory on stochastic processes, SPDE, KPZ-related probabilistic models
Education
-
B.S., School of Mathematical Sciences, Peking University, 2014
-
Ph.D., Mathematics, Courant Institute, New York University, 2019
Working Experience
-
2023.8 – now: Southern University of Technology and Science
-
2022.8 – 2023.5: University of Michigan, Ann Arbor, Postdoc
-
2019.7 – 2022.7: University of Toronto, Postdoc
Personal Homepage
liyingli-math.github.io
Publications
-
Alexander Dunlap, Yu Gu, Liying Li, Localization length of the 1+1 continuum directed random polymer, https://arxiv.org/abs/2211.07318
-
Khanin Konstantin, Liying Li, Zhanghan Yin, Point fields of last-passage percolation and coalescing fractional Brownian motions, https://arxiv.org/abs/2112.02247, Phys. Rev. E105, 064127
-
Khanin Konstantin, Liying Li, On asymptotic behavior of iterates of piecewise constant monotone maps, https://arxiv.org/abs/2110.09731, accepted at Ann. Henri Poincare
-
Khanin Konstantin, 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, accepted at Nonlinearity
-
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)
-
Ph.D. Thesis (Advisor: Yuri Bakhtin), Ergodic problems in random environments: polymers, Burgers equation and transport, 2019, New York University
-
Undergraduate Thesis (Advisor: Hao Ge), Enhanced Sampling method, 2014, Peking University
My primary research field is probability. More specifically, I am interested in ergodic properties of SPDEs and models related to the Kardar--Parisi--Zhang universality class, including stochastic Burgers/Hamilton--Jacobi equations, directed polymers, first-/last-passage percolation, etc.
-
Alexander Dunlap, Yu Gu, Liying Li, Localization length of the 1+1 continuum directed random polymer, https://arxiv.org/abs/2211.07318
-
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, accepted at Ann. Henri Poincare
-
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, accepted at Nonlinearity
-
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)
