林勇

林勇教授,博士生导师,1997年获芬兰Jyvaskyla大学理学博士。

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电话 :86-10-82500679

电子邮箱:linyong01@ruc.edu.cn

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工作经历

1988-1994 福建师范大学数学系, 讲师

1998-1999 中国人民大学信息学院, 讲师

1999-2002 中国人民大学信息学院, 副教授

2004.9-2005.7 美国哈佛大学博士后、访问学者

2007.7 芬兰赫尔辛基大学访问学者

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

2013.1-2013.6 美国哈佛大学访问学者

2014.4-2014.6 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

2016.7 德国比勒菲尔德大学访问学者

2017.1-2017.3 美国哈佛大学访问学者

2002- 中国人民大学信息学院, 教授

研究方向

图上的几何和分析,分形上的分析,几何测度论,非线性时间序列分析,经济和金融中的分形和混沌等非线性现象

科研项目

国家自然科学基金项目:“分形和图上的几何和分析”(2017-2020),“离散分析-分形和图上的分析及其应用”(2013-2016),“分形、图和距离空间上的分析及其应用”(2009-2011),“分形上的分析及其应用”(2005-2007),“Menger 曲率及其应用”(2001-2003);中国人民大学研究品牌项目:“图和流形上的分析和复杂网络研究及其应用”(2011-2016)。

科研成果

1.Pual Horn, Yong Lin, Shuang Liu, Shing-Tung Yau, Volume doubling, Poincare inequality and Guassian heat kernel estimate for nonnegative curvature graphs, to appear in Journal für die reine und angewandte Mathematik(Crelle journal).

2.Bobo Hua, Yong Lin, Graphs with Large Girth and Nonnegative Curvature Dimension Condition, to appear in Communications in Analysis and Geometry.

3.Alexander Grigoryan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Path complexes and their homologies, to appear in Int. J. Math.

4.Yong Lin, Yiting Wu, On-diagonal lower estimate of heat kernels on graphs, to appear in Journal of Mathematical Analysis and Applications.

5.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, 2017.

6.Alexander Grigoryan, 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.

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

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

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

10.Hua, Bobo, Lin, Yong, Curvature notion on graphs, Frontier of Mathematics in China, 11(5), 1275-1290, 2016.

11.Alexander Grigoryan, Yong Lin, Yunyan Yang,Kazdan-Warner equation on graph. Calc. Var. Partial Differential Equations, Volume 55, no.4, 2016.

12.Alexander Grigoryan, Yong Lin, Yunyan Yang,Yamabe type equations on graphs,Journal of Differential Equations, Volume 261 , no.9, 4924-4943, 2016.

13.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.

14.Alexander Grigoryan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Cohomology of digraphs and (undirected) graphs, Asian Journal of mathematics, Vol.19, No.5, 2015.

15.Alexander Grigoryan, Yong Lin,Yuri Muranov, Shing-Tung Yau,

Homotopy theory of digraphs, Pure and Applied Mathematics Quartely, Volume 10,No.4, 619-674, 2014.

16.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.

17.Fan Chung, Yong Lin and Shing-Tung Yau, Harnack inequalities on graphs with Ricci curvature bounded below, Journal of Mathematical Analysis and Applications, Vol.415, Issue 1, 2014, 25-32.

18.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.

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

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

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

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

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

24.Yong Lin and Huojun Ruan, Maximal functions and Fourier transforms of self-similar measures, Chaos,Solitons and Fractals, Vol. 27,2006, 121-126.

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

26.Hua Su and Lin Yong, R/S analysis of Chinese securities market, Tsinghua Sci. Technol., 2003, Vol8, No. 5.

27.Yong Lin and Pertti Mattila, Menger curvature and C1 regularity of fractals, Proceeding of American Mathematics Society 2001, Vol.6.

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

29.Yong Lin, Meromorphic solutions to six classes of classical nonlinear ordinary differential equations. I., Acta Math. Sci., 1992, Vol.12, No. 3.

30.Yuzan He, Xiulin Zou and Yong Lin, Meromorphic solutions to ordinary differential equations, Acta Math. Sinica, 1991, Vol.34, No. 3.

31.Yuzan He and 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

荣誉获奖

中国人民大学优秀科研论文一等奖2003年度

“宝钢优秀教师奖”2008年度