English 清华大学 旧版入口 人才招聘

林勇

  • 教授
  • 电话:62794516
  • 邮箱:yonglin@tsinghua.edu.cn

基本信息

清华大学丘成桐数学中心/数学系 教授

博士(芬兰于韦斯屈拉大学,1997年)

工作履历

工作经历:

2019年至今 清华大学丘成桐数学中心/数学系 教授

2002年-2018年 中国人民大学信息学院/数学学院 教授

1998年-2002年 中国人民大学信息学院 副教授

1988年-1994年 福建师范大学 讲师


访学经历:

2014.9-2015.7 美国哈佛大学数学系 博士后研究员

2009.9-2010.12 美国哈佛大学访问学者

2011.1-2011.2 香港中文大学访问学者

2012.7-2012.8 德国比勒菲尔德大学访问学者

2013.1-2013.5 美国哈佛大学访问学者

2014.2-2014.4 台湾大学访问学者

2015.2-2015.4 美国哈佛大学访问学者

2016.2-2016.3 美国哈佛大学访问学者

2017.1-2017.3 美国哈佛大学访问学者

2018.1-2018.2 美国哈佛大学访问学者

2019.8 美国哈佛大学访问学者


 








研究领域


图上的几何分析、偏微分方程和代数拓扑,图数据分析


所授课程


“分析”,“微积分”,“离散数学”,“离散几何分析”


奖励与荣誉

宝钢优秀教师奖(2008年)


学术成果

Preprint:

1. Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Homologies of path complexes and digraphs, preprint.

2. Chao Gong, Yong Lin, CDE' Inequalities on Graphs with Unbounded Laplacians, preprint.

3. BoboHua, Yong Lin, Yanhui Su, Payne-Polya-Weinberger, Hile-Protter and Yang’s inequalities for Dirichlet Laplace eigenvalues on integer lattices, preprint.

4. Paul Horn, Yong Lin, Shing-Tung Yau, Variational inequalities on graphs, preprint.

5. Alexander Grigor'yan, Yong Lin, Shing-Tung Yau, Torsion of digraphs and path complexes, preprint.

6. Shuliang Bai, Yong Lin, Linyuan Lu, Zhiyu Wang, Shing-Tung Yau, Discovering hierarchical structures in weighted graphs using Ricci-flow method, preprint.

7. Yong Lin, Chong Wang, Shing-Tung Yau, Discrete Morse theory on digraphs, preprint.

8. Xin Lai, Shuliang Bai, Yong Lin, Normalized discrete Ricci flow used in community detection, preprint.

9.Yong Lin, Yuanyuan Xie, The existence of solutions of the wave equation on graphs, preprint.

10.Yong Lin, Yuanyuan Xie, Semilinear heat equations and parabolic variational inequalities on graphs, preprint.

 

Selected Publications:

1. Yong Lin, Sze-Man Ngai, Shing-Tung Yau, Heat kernels on forms defined on a subgraph of a complete graph, to appear in Mathematische Annelen.

2. An Huang, Yong Lin, Shing-Tung Yau, Existence of Solutions to Mean Field Equations on Graphs, Communications in Mathematical Physics,377, 613-621, 2020.

3. Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Path complexes and their homologies, Journal of Mathematical Science, 248(5), 564-599,2020.

4. Pual Horn, Yong Lin, Shuang Liu, Shing-Tung Yau, Volume doubling, Poincar\'{e} inequality and Guassian heat kernel estimate for nonnegative curvature graphs, Journal für die reine und angewandte Mathematik(Crelle's journal), 757, 89-130, 2019.

5. Bobo Hua, Yong Lin, Graphs with large girth and nonnegative curvature dimension condition, Communications in Analysis and Geometry, 27(3), 619-639, 2019.

6. Chao Gong, Yong Lin, Shuang Liu, Shing-Tung Yau, Li-Yau inequality for unbounded Laplacian on graphs, Advances in Mathematics, 357, 2019.

7. Lin,Yong, Liu,Shuang, Song,Hongye, Ultracontractivity and Functional Inequalities on Infinite Graphs, Discrete & Computational Geometry, 61(1), 198-211, 2019.

8. Lin,Yong,Wu,Yiting, Blow-up problems for nonlinear paraboliv equations on locally finite graphs, Acta Mathematica Scientia, 38(3), 843-856,2018.

9. Lin,Yong, Song,Hongye, Harnavk and mean value inequalities on graphss,Acta Mathematica Scientia, 38(6), 1751-1758, 2018.

10.Yong Lin, Shuang Liu, Hongye Song, Log-Sobolev Inequalities on Graphs with Positive Curvature, Mathematical Physics and Computer Simulation, Volume 40(3),2017.

11. Chao Gong, Yong Lin, Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians, Chinese Annals of Mathematics, Series B, Volume 38(5), 1059-1070, 2017.

12. Yong Lin, Yiting Wu, On-diagonal lower estimate of heat kernels on graphs, Journal of Mathematical Analysis and Applications, Volume 456(2), 1040-1048, 2017.

13. Yong Lin, Yiting Wu, The existence and nonexistence of global solutions for a semilinear heat equation on graphs, Calculus of Variations and Partial Differential Equations, Volume 56(4), 2017.

14. Alexander Grigor'yan, Yong Lin, Yun Yan Yang, Existence of positive solutions to some nonlinear equations on locally finite graphs, Science China Math., Vol.60, 1311-1324, 2017.

15. Bobo Hua, Yong Lin, Stochastic completeness for graphs with curvature dimension conditions, Advances in Mathematics, 306, 279–302, 2017.

16. Yong Lin, Shuang Liu, Yun Yan Yang, A Gradient Estimate for Positive Functions on Graphs, Journal of Geometric Analysis, Volume 27, 1667-1679, 2017.

17. Frank Bauer, Fan Chung, Yong Lin, Yuan Liu, Curvature Aspects of Graphs, Proceedings of the American Mathematical society, Volume 145, 2033-2042, 2017.

18. Alexander Grigor'yan, Yong Lin, Yun Yan Yang, Yamabe type equations on graphs, Journal of Differential Equations, Volume 261, Number. 9, 4924-4943, 2016.

19. Alexander Grigor'yan, Yong Lin, Yun Yan Yang, Kazdan-Warner equation on graph, Calculus of Variations and Partial Differential Equations, Volume 55, Number 4, 2016.

20. Yong Lin, Shuang Liu, Yun Yan Yang, Global gradient estimate on graph and its application, Acta Mathematica Sinica,Volume 32, Number 11, 1350-1356, 2016.

21. Zu-Guo Yu, Huan Zhang, Da-Wen Huang, Yong Lin, Vo Anh, Multifractality and Laplace spectrum of horizontal visibility graphs constructed from fractional Brownian motion, Journal of Statistical Mechanics, 3, 2016.

22. Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau,, Cohomology of digraphs and (undirected) graphs, Asian Journal of Mathematics, Volume19, Number5, 2015.

23. Frank Bauer, Paul Horn, Yong Lin, Gabor Lippner, Dan Mangoubi, Shing-Tung Yau, Li-Yau inequality on graphs, Journal of Differential Geometry, 99, 359-405,2015.

24. Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Homotopy theory of digraphs, Pure and Applied Mathematics Quarterly, Volume 10, Number 4,619-674, 2014.

25. Yong Lin, Linyuan Lu and Shing-Tung Yau, Ricci-flat graphs with girth at least five, Communications in Analysis and Geometry, Volume 22, Number 4, 1-17,2014.

26. Fan Chung, Yong Lin and Shing-Tung Yau, Harnack inequalities for graphs with non-negative Ricci curvature, Journal of Mathematical Analysis and Applications, Vol.415, Issue 1, 25-32,2014.

27. Yong Lin, Ricci curvature and functional inequalities on graphs, Fifth International Congress of Chinese Mathematicians. Part 1, 2, 663–675, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2012.

28Yong Lin, Gapor Lippner, Shing-Tung Yau, Quantum tunneling on graphs, Communications in Mathematical Physics, Vol.311, no. 1, 113-132, 2012.

29. Yong Lin, Linyuan Lu and Shing-Tung Yau, Ricci curvature of graphs,  Tohoku Mathematical Journal, Vol.63, no.4, 605-627, 2011.

30. Yong Lin and Shing-Tung Yau, Ricci curvature and eigenvalue estimate on locally finite graphs, Mathematical Research Letter, Vol.17, No.2, 345-358, 2010.

31. Yong Lin, Gapor Lippner, Dan Mangaubi, Shing-Tung Yau, Nodal Geometry of graphs on Surfaces, Discrete and Continuous Dynamical System, Vol.28, No.3, 1291-1298, 2010.

32. Yong Lin, Lifeng Xi, Lipschitz Continuity of Harmonic Function on Graphs, Journal of Mathematical Analysis and Applications, Vol.366, Issue 2, 673-679,2010.

33. Yong Lin, Huojun Ruan, Maximal functions and Fourier transforms of self-similar measures, Chaos,Solitons and Fractals,Vol. 272006.

34. Dachun Yang, Yong Lin, Spaces of Lipschitz type on metric spaces and their applications, Proc. Edinb. Math. Soc(2) 47, No.3, 709-752, 2004.

35. Su Hua, Yong Lin, R\S analysis of Chinese securities market, Tsinghua Sci., Technol., Vol 8, No.5, 2002.

36. Yong Lin, Lifeng Xi, Whitney's critical set in fractals, Chaos, Solitons and Fractals, Vol. 14, 2002.

37. Yong Lin, Pertti Mattila, Menger curvature and C^1 regularity of fractals, Proceeding of American Mathematics Society, Vol.6, 2001.

38. Yong Lin, Menger curvature, singular integrals and analytic capacity, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes 111, 1997.

39. Yuzan He, Yong Lin, On factorization of meromorphic functions satisfying nonlinear ordinary differential equations, International Symposium in memory of Hua Loo Keng, Vol. II(Beijing), 123-133, Springer, 1991.


 

 


 


人才培养

博士后:任世全,2019年-2021年

博士后:雷梦达,2020年-