人员 > 科研教学系列 > 李立颖

李立颖

副教授  

  • 简历
  • 科研
  • 教学
  • 发表论著

研究方向

概率论, 随机过程的遍历理论, 随机偏微分方程, KPZ 相关概率模型


教育背景

  • 数学博士, 纽约大学, 柯朗数学研究所, 2019
  • 理学学士, 北京大学, 数学科学学院, 2014


工作经历

  • 2023.8 至今: 南方科技大学
  • 2022.8 – 2023.5: 密歇根大学安娜堡分校, 博士后
  • 2019.7 – 2022.7: 多伦多大学, 博士后

个人主页

    liyingli-math.github.io


发表论文

  • 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)
  • 博士毕业论文 (导师: Yuri Bakhtin), Ergodic problems in random environments: polymers, Burgers equation and transport, 2019, New York University
  • 本科毕业论文 (导师: 葛颢), 增强性抽样方法, 2014, 北京大学
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)