林勇教授
电话：+86-
办公室：静斋209

邮箱：yonglin@tsinghua.edu.cn
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研究领域 图上的几何与分析
教育背景 1981-1985? ? ? ? ? ? ??学士? ? ? ? ? ? ? ? ? ? ? ? ? ??福建师范大学
1994-1997 ? ? ? ? ? ? ?博士? ? ? ? ? ? ? ? ? ? ? ? ? ? 芬兰于韦斯屈拉大学
工作经历 2018?至今? ? ? ? ? ? ? ??教授? ? ? ? ? ? ? ? ? ?? ? ? ??清华大学丘成桐数学科学中心
1998-2018 ? ? ? ? ? ? ? 教授 ? ? ? ? ? ? ? ? ? ? ? ?? ?中国人民大学
1988-1994 ? ? ? ? ? ?? ?讲师 ? ? ?? ? ? ? ? ? ? ? ? ? ?福建师范大学
2004-2005 ? ? ? ? ?? ? ?博士后 ??? ? ? ? ? ? ? ? ? ?? 哈佛大学
2018.1-2018.2? ? ? ? ??美国哈佛大学 ? ? ? ? ? ? ??访问
2017.1-2017.3 ? ? ? ? ?美国哈佛大学 ? ? ? ? ? ? ??访问
2016.7 ? ? ? ? ? ? ? ? ? ? 德国比勒菲尔德大学 ? ? ?访问
2016.2-2016.3 ? ? ? ? ?美国哈佛大学 ? ? ? ? ? ? ? 访问
2015.2-2015.4 ? ? ? ? ?美国哈佛大学 ? ? ? ? ? ? ? 访问
2014.2-2014.4 ? ? ? ? ?台湾大学 ? ? ? ? ? ? ? ? ? ? 访问
2013.1-2015.5 ? ? ? ? ?美国哈佛大学 ? ? ? ? ? ? ? 访问
2012.7-2012.8 ? ? ? ? ?德国比勒菲尔德大学 ? ? ?访问
2011.1-2011.2 ? ? ? ? ?香港中文大学 ? ? ? ? ? ? ? 访问
2009.9-2010.12 ? ? ? ?美国哈佛大学 ? ? ? ? ? ? ? 访问



发表论文 [1] Yong Lin, Hongye Song, Harnack and mean value inequalities on graphs, Acta Mathematica Scientia, 38B(6), 2018.
[2] 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),
DOI: 10.1515/crelle-2017-0038.
[3]?Bobo?Hua,Yong?Lin,?Graphs?with?large?girth?and?nonnegative?curvature?
dimension?condition, to appear in Communications in Analysis and Geometry.
[4]?Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau,?Path complexes and their homologies, to appear in Int. J. Math.
[5]?Yong Lin,Shuang Liu, Hongye Song, Ultracontractivity and functional inequalities on in?nite graphs, to appear in Discrete & Computational Geometry.
[6]?Yong Lin, Shuang Liu, Hongye Song, Log-Sobolev Inequalities on graphs with positive curvature, Mathematical Physics and Computer Simulation, Volume 40(3), 2017.
[7]?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.
[8]?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.
[9]?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.
[10]?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.
[11]?Bobo?Hua,?Yong?Lin,?Yong, Stochastic completeness for graphs with curvature?dimension conditions, Advances in Mathematics, 306, 279–302, 2017.
[12]?Yong Lin, Shuang Liu, Yun Yan Yang, A Gradient estimate for positive functions on graphs, Journal of Geometric Analysis, Volume 27, 1667-1679, 2017.
[13]?Frank Bauer, Fan Chung, Yong Lin, Yuan Liu, Curvature aspects of graphs,?Proceedings of the American Mathematical society, Volume 145, 2033-2042, 2017.
[14]?Alexander Grigor'yan, Yong Lin,?Yun Yan Yang, Yamabe type equations on graphs, Journal of Differential Equations, Volume 261, Number. 9, 4924-4943, 2016.
[15]?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.
[16]?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.
[17]?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.
[18]?Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau,?Cohomology of digraphs and (undirected) graphs, ?Asian Journal of Mathematics, Volume19, Number5, 2015.
[19]?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.
[20]?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.
[21]?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
[22]?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.
[23]?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.
[24]?Yong Lin, Gapor Lippner, Shing-Tung Yau, Quantum tunneling on graphs, Communications in Mathematical Physics, Vol.311, no. 1, 113-132, 2012.
[25]?Yong Lin, Linyuan Lu and Shing-Tung Yau, Ricci curvature of graphs, Tohoku Mathematical Journal, Vol.63, no.4, 605-627, 2011.
[26]?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.
[27]?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.
[28]?Yong Lin and Lifeng Xi, Lipschitz?continuity of harmonic function on graphs, Journal of Mathematical Analysis and Applications, Vol.366, Issue 2, 673-679, 2010.
[29]?Yong Lin and Huojun Ruan, Maximal functions and Fourier transforms of self-similar measures, Chaos, Solitons and Fractals, Vol. 27, 2006.
[30]?Dachun Yang and Yong Lin, Spaces of Lipschitz type on metric spaces and their applications, ?Proc. Edinb. Math. Soc(2) 47, no.3. 709—752, 2004.
[31]?Su Hua?and Yong?Lin, R\S analysis of Chinese securities market, Tsinghua Sci. Technol., Vol8, No. 5,?2003.
[32]?Yong Lin and Lifeng Xi, Whitney's critical set in Fractal, Chaos, Solitons and Fractals, Vol.14,?2002.
[33]?Yong Lin and Pertti Mattila, Menger curvature and C1 regularity of fractals, Proceeding of American Mathematics Society, Vol.6,?2001.
[34]?Yong Lin, Menger curvature, singular integrals and analytic capacity, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes 111, 1997.
[35]?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
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预印本:
[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]?Chao Gong, Yong Lin, Shuang Liu, Shing-Tung Yau, Li-Yau inequality for unbounded Laplacian on graphs, preprint.
[6]?David Cushing, Riikka Kangaslampi, Yong Lin, Shiping Liu, Linyuan Lu, Shing-Tung Yau, Ricci-flat cubic graphs with girth five, preprint.
[7]?Yong Lin, Sze-Man Ngai, Shing-Tung Yau, Heat kernel of the Laplacian on a subgraph of a complete graph, preprint.