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刘双
讲师
主要研究方向：图上的几何和分析
办公室：信息楼333 010-82500691&shuangliu@ruc.edu.cn
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教育经历
2013.09-2017.06 中国人民大学 应用数学 理学博士
2015.09-2016.09 美国东北大学 联合培养博士
2011.09-2014.06 中国人民大学 应用数学 理学硕士
2007.09-2011.06 湖南师范大学 统计学 理学学士 -
工作经历
2019.08 至今 中国人民大学数学学院 讲师
2017.07-2019.07 清华大学丘成桐数学科学中心 博士后 -
科研成果
1. Gong Chao, Yong Lin, Shuang Liu, Shing - Tung Yau, Li - Yau inequality for unbounded Laplacian on graphs, to appear in Advances in Mathematics, https://doi.org/10.1016/j.aim.2019.106822.
2. Paul Horn, Yong Lin, Shuang Liu, Shing - Tung Yau, Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs, to appear in Journal für die reine und angewandte Mathematik(Crelles Journal), https://doi.org/10.1515/crelle-2017-0038.
3. Shuang Liu, Buser’s inequality on infinite graphs, Journal of Mathematical Analysis and Applications, 475(2), 1416-1426, 2019.
4. Yong Lin, Shuang Liu, Hongye Song, Ultracontractivity and functional inequalities on infinite graphs, Discrete & Computational Geometry, 61(1),198-211,2019.
5. Yong Lin, Shuang Liu, Equivalent properties of CD inequality on graph, Acta Mathematica Sinica, Chinese Series, 61(3), 431-440, 2018.
6. Yong Lin, Shuang Liu, Yunyan Yang, A gradient estimate for positive functions on graphs, The Journal of Geometric Analysis, 27(2), 1667–1679, 2017.
7. Yong Lin, Shuang Liu, Yunyan Yang, Global gradient estimate on graph and its applications, Acta Mathematica Sinica, English Series, 32(11), 1350-1356, 2016.