北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术研究
研究团队
公开课
讨论班
招生招聘
教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > 倪思敏

倪思敏

     研究员    
研究员 倪思敏

团队: 分析和几何

办公室: A15-203

邮箱: ngai@bimsa.cn

研究方向: 分形几何

教育经历


  • 1984 - 1987      University of Hong Kong      Mathematics/Physics
  • 1988 - 1989      University of Pittsburgh      Mathematics      Master
  • 1988 - 1995      University of Pittsburgh      Mathematics      Ph.D      (Supervisor: Ka-Sing Lau)

工作经历


  • 1995 - 1995      Chinese University of Hong Kong      Instructor
  • 1996 - 1997      Chinese University of Hong Kong      Postdoctoral Fellow
  • 1998 - 1998      Cornell University      Visiting Assistant Professor
  • 1998 - 2000      Georgia Institute of Technology      Visiting Assistant Professor
  • 2000 - 2006      Georgia Southern University      Assistant Professor
  • 2006 - 2011      Georgia Southern University      Associate Professor
  • 2008 - 2009      Chinese University of Hong Kong      Visiting Scholar
  • 2016 - 2017      Harvard University      Visiting Scholar
  • 2011 - 2024      Hunan Normal University      Adjunct Professor
  • 2011 - 2024      Georgia Southern University, USA      Professor

出版物


  • [1] Sze-Man Ngai and Wen-Quan Zhao, Lq-spectrum of a class of self-similar measures, Asian J. Math., 27(6), 867-892 (2023)
  • [2] Sze-Man Ngai and Wei Tang, Schrodinger equations defined by a class of self-similar measures, J. Fractal Geom., 10(2023), 3/4, 209-241
  • [3] Guotai Deng, Chuntai Liu, and Sze-Man Ngai, Self-affine tiles generated by a finite number of matrices, Discrete Comput. Geom., 70(2023), 602-644
  • [4] Yong Lin, Sze-Man Ngai, and Shing-Tung Yau, Green's function of a subgraph of a complete graph, Int. Math. Res. Not. IMRN, 2023(2023), 13, 11145-11171
  • [5] Sze-Man Ngai and Yangyang Xu, Separation conditions for iterated function systems with overlaps on Riemannian manifolds, J. Geom. Anal. , 33(2023), 262
  • [6] Sze-Man Ngai and Yangyang Xu, Existence of Lq-dimension and entropy dimension of self-conformal measures on Riemannian manifolds, Nonlinear Anal., 230(2023), 113226
  • [7] Sze-Man Ngai, Wei Tang, Anh Tran, and Shuai Yuan, Orthogonal polynomials de ned by self-similar measures with overlaps, Exp. Math, 31(2022), 3, 1026-1038
  • [8] Guotai Deng, Chuntai Liu, and Sze-Man Ngai, A class of self-affine tiles in Rd that are d-dimensional tame balls, Adv. Math., 410(2022), 108716
  • [9] Da-Wen Deng, Yulan Huang, and Sze-Man Ngai, Continuous maps that preserve Hausdor measure, J. Math. Anal. Appl. , 516(2022), 126485
  • [10] Wei Tang and Sze-Man Ngai, Heat equations defined by self-similar measures with overlaps, Fractals , 30(3), 2250073 (2022)
  • [11] Y. Lin, S.-M. Ngai, and S.-T. Yau, Heat kernels on forms defined on a subgraph of a complete graph, Math. Ann., 380, 1891-1931 (2021)
  • [12] D.-W. Deng and S.-M. Ngai, Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces, Proc. Roy. Soc. Edinburgh Sect. A, 151, 842-861 (2021)
  • [13] S.-M. Ngai and Y. Xie, Spectral asymptotics of Laplacians associated with a class of higherdimensional graph-directed self-similar measures, Nonlinearity, 34, 5375{5398. (2021)
  • [14] Q. Gu, J. Hu and S.-M. Ngai, , Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates, Commun. Pure Appl. Anal., 19, 641-676 (2020)
  • [15] S.-M. Ngai, Measures essentially of finite type and spectral asymptotics of fractal Laplacians, Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications. Analysis, Probability and Mathematical Physics on Fractals, 337-362 (2020)
  • [16] S.-M. Ngai and Y. Xie, Spectral asymptotics of one-dimensional graph-directed self-similar measures with overlaps, Ark. Mat., 58, 393{435. (2020)
  • [17] C.-Y. Chu and S.-M. Ngai, Dimensions in in nite iterated function systems consisting of bi-Lipschitz mappings, Dyn. Syst., 549-583 (2020)
  • [18] S.-M. Ngai, W. Tang, and Y. Xie, Wave propagation speed on fractals, J. Fourier Anal. Appl., 26(31) (2020)
  • [19] G. Deng, C. Liu, and S.-M. Ngai, Topological properties of a class of higher-dimensional self-affine tiles, Canad. Math. Bull., 62, 727--740 (2019)
  • [20] S.-M. Ngai and W. Tang, Eigenvalue asymptotics and Bohr's formula for fractal Schr"odinger operators, Pacific J. Math., 300, 83-119 (2019)
  • [21] S.-M. Ngai and Y. Xie, $L^q$-spectrum of self-similar measures with overlaps in the absence of second-order identities, J. Aust. Math. Soc., 106, 56-103 (2019)
  • [22] S.-M. Ngai, W. Tang, and Y. Xie, Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities, Discrete Contin. Dyn. Syst., 38, 1849-1887 (2018)
  • [23] G. Deng, C. Liu, and S.-M. Ngai, Topological properties of a class of self-affine tiles in ${\mathbb R}^3$, Trans. Amer. Math. Soc., 370, 1321-1350 (2018)
  • [24] G. Deng and S.-M. Ngai, Differentiability of $L^q$-spectrum and multifractal decomposition by using infinite graph-directed IFSs, Adv. Math., 311, 190-237 (2017)
  • [25] S.-M. Ngai and J.-X. Tong, Infinite iterated function systems with overlaps, Ergodic Theory Dynam. Systems, 36, 890-907 (2016)
  • [26] G. Deng, C. Liu and S.-M. Ngai, Dimensions of the boundary of a graph-directed self-similar set with overlaps, Houston J. Math., 42, 179-210 (2016)
  • [27] J. Liu, S.-M. Ngai, and J. Tao, Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices, J. Math. Anal. Appl., 435, 1499-1513 (2016)
  • [28] J. F.-C. Chan, S.-M. Ngai, and A. Teplyaev, One-dimensional wave equations defined by fractal Laplacians, J. Anal. Math., 127, 219--246 (2015)
  • [29] D.-W. Deng and S.-M. Ngai, Eigenvalue estimates for Laplacians on measure spaces, J. Funct. Anal., 268, 2231-2260 (2015)
  • [30] D.-W. Deng and S.-M. Ngai, Fractal tiles and quasidisks, Math. Z., 279, 359-387 (2015)
  • [31] Q.-R. Deng and S.-M. Ngai, Dimensions of fractals generated by bi-Lipschitz maps, Abstr. Appl. Anal. (2014)
  • [32] K.-S. Lau and S.-M. Ngai, Boundary theory on the Hata tree, Nonlinear Anal., 95, 292-307 (2014)

 

更新时间: 2025-05-20 15:34:25


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