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
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数学博士, 纽约大学, 柯朗数学研究所, 2019
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理学学士, 北京大学, 数学科学学院, 2014
工作经历
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2023.8 至今: 南方科技大学
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2022.8 – 2023.5: 密歇根大学安娜堡分校, 博士后
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2019.7 – 2022.7: 多伦多大学, 博士后
个人主页
liyingli-math.github.io
发表论文
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Alexander Dunlap, Yu Gu, Liying Li, Localization length of the 1+1 continuum directed random polymer, https://arxiv.org/abs/2211.07318
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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
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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
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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
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Yuri Bakhtin, Liying Li, Strongly mixing smooth planer vector field without asymptotic directions, https://arxiv.org/abs/1903.02733, accepted at Nonlinearity
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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
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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)
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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
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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)
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博士毕业论文 (导师: Yuri Bakhtin), Ergodic problems in random environments: polymers, Burgers equation and transport, 2019, New York University
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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.
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Alexander Dunlap, Yu Gu, Liying Li, Localization length of the 1+1 continuum directed random polymer, https://arxiv.org/abs/2211.07318
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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
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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
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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
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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)
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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
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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)
