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李文侠

数学科学学院      

个人资料

  • 部门: 数学科学学院
  • 毕业院校:
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  • 电子邮箱: wxli@math.ecnu.edu.cn
  • 办公地址: 闵行校区数学馆315室
  • 通讯地址: 200241 上海市闵行区东川路500号,华东师范大学数学系

教育经历

工作经历

个人简介

社会兼职

普陀区致公党华东师大直属支部主委‚华东师大特邀监察员(2006.12--2009.12)‚普陀区政协委员‚美国《数学评论》评论员。

研究方向

分形几何及其应用‚DNA计算

招生与培养

开授课程

科研项目

学术成果

1“非线性动力系统的全局理论及其应用”:获2002年教育部科学技术奖一等奖(自然科学类)―――参加者(项目负责人为上海交通大学数学系韩茂安教授);

2)“非线性系统动力学研究”:获2006年上海市自然科学奖二等奖―――参加者(项目负责人为上海师范大学数学系韩茂安教授)

[1] The dimensions of self-similar sets (with D. Xiao)‚ J. Math. Soc. Japan‚  50(1998)‚ 789--799.

[2] Limit cycles for competitive three dimensional Lotka - Volterra system (with  D. Xiao)‚ J. Differential Equations‚ 164(2000)‚ 1--15. 
[3] The dimension of  subsets of Moran sets determined by the success  run behaviour of their codings (with  F.M. Dekking)‚  Monatshefte fur Mathematik‚ 131(2000)‚ 309--320. 

[4] Non-differentiability of devil´s staircases and dimensions  of subsets of Moran sets (with D.Xiao and F.M. Dekking)‚   Mathematical Proceedings of the Cambridge Philosophical Society‚ 133(2002)‚ No.2‚ 345--355.

[5] Hausdorff dimension of  subsets of Moran fractals with prescribed group frequency of their codings (with F.M. Dekking)‚  Nonlinearity‚ 16(2003)‚ 187--200.

[6] Stability and Bifurcation in  a delayed Ratio-dependent Predator-Prey System (with  D.Xiao )‚  Proceedings of the Edinburgh Mathematical Society‚ 46(2003)‚ 205--220.

[7] How smooth is a devil´s staircase?  (with F. Michel Dekking)‚  Fractals‚  11(2003)‚ 101--107

[8] The dimension of  sets determined by their code behaviour‚ Fractals‚ 11(2003)‚ 345--352.

[9] Solving Maximum cut problem in the Adleman-Lipton model(with D. Xiao‚ Z. Zhang‚ L. He)‚  BioSystems‚82(2005)‚ 203--207.

[10] Procedure for a dynamical system on $\{0‚ 1\}^n$ with DNA molecules(with D. Xiao‚ J. Yu‚ X. Zhang‚ Z. Zhang‚ L. He).  BioSystems‚ 84(2006)‚ 207--216.

[11] Dynamics in a Ratio-dependent Predator-Prey Model with  predator Harvesting(with D. Xiao‚ M. Han).  JMAA‚ 324(2006)‚ 14--29.

[12] Orbit trap rendering method for generating artistic images with cyclic or dihedral symmetry(with Y. Zuo‚ J. Lu‚ R. Ye).  Computers & graphics‚ 30(2006)‚ 471--474.

[13] DNA ternary addition(with D. Xiao‚ L. He).  Applied Mathematics and Computation‚  182(2006)‚ 977--986.
[14] A DNA procedure for solving the shortest path problem(with C. Wang‚ D. Xiao‚ L. He).  Applied Mathematics and Computation‚ 183(2006)‚ 79--84.

[15] Non-differentiability points of Cantor functions.  Mathematische Nachrichten‚ 280(2007)‚ 140--151.

[16] Hausdorff dimension of fiber-coding sub-Sierpinski carpets(with Y.X. Gui).  JMAA‚ 331(2007)‚ 62--68.

[17] Points of infinite derivative of Cantor functions. Real Anal. Exchange‚ 32 (2006/07)‚ no.1‚ 87--96.

[18] Hausdorff dimension of subsets with proportional  fibre frequencies of the general Sierpinski carpet (with Y.X. Gui).  Nonlinearity‚ 20(2007)‚ 2353--2364.

[19] A class of Sierpinski carpets with overlaps (with Y.R. Zou‚ Y.Y. Yao).  J. Math. Anal. Appl.‚ 340(2008)‚ 1422--1432.

[20] A random version of McMullen-Bedford  general Sierpinski carpets and its application (with Y.X. Gui). Nonlinearity 21 (2008) 1745-1758.

[21] Dimensions of measure supported on generalized MW construction (with Feng Su)‚    Lecture Notes in Pure and Applied Mathematics 176‚ Dekker‚ New Jork. 163--167.

[22] Multifractal decompositions of MW-like fractals‚  DYNAMICAL SYSTEM AND CHAOS‚ vol.1‚ Tokyo‚ Japan‚ June 1994‚  159--162. World Sci. Publishing‚ River Edge‚ NJ.

[23] On the intersection of translation of middle-$\alpha $ Cantor sets (with  D. Xiao)‚ FRACTALS AND BEYOND--Complexities in the Sciences‚ Malta‚ October 1998‚ 137--148. World Scientific‚ Singapore.  

[24] The pointwise densities of non-symmetric Cantor sets (with Yuanyuan Yao).  International Journal of Mathematics‚ 19(2008)‚ 1121--1135.

[25] An equivalent definition of packing dimension for subsets of Moran fractals and its application‚ Nonlinear Analysis: Real World Applications‚ 10(2009)‚ 1618--1626.

[26]  A generalized Multifractal spectrum of the general Sierpinski carpets (with Y.X. Gui)‚  JMAA‚ 348(2008)‚ 180--192.

[27] Self-similar structure on intersection of homogeneous symmetric Cantor sets (with Yunxiu Zhang‚ Yuanyuan Yao)‚  to appear in Mathematische Nachrichten. 

[28] Hausdorff and packing dimensions of  subsets of Moran fractals with prescribed mixed group frequency of their codings(with L. Olsen‚ Z.Y. Wen)‚  Aequationes Mathematicae‚ 77(2009)‚ 171--185.

[29]  Hausdorff dimension of a class of subsets of the general Sierpinski carpet (with with Y.X. Gui)‚ to appear in  Acta Scientiarum Mathematicarum

[30]  Subsets of the general Sierpinski carpet with mixed group frequencies (with Y.X. Gui)‚ to appear in International Journal of Mathematics

[31]  Dimensions of subsets of Moran fractals related to frequencies of their codings (with Y.Y. Yao).  Nonlinear Analysis: Real World Applications‚ 10(2009)‚ 3240--3252. 

[32]  Self-similar structure on the intersection of middle-$1-2\beta$ Cantor sets with $\beta\in(\frac{1}{3}‚\frac{1}{2})$‚ Nonlinearity 21 (2008) 2899-2910. (with J. Lu and YR. Zou). 

[33] Dimensions of Non-differentiability points of Cantor functions (with Yuanyuan Yao‚ Yunxiu Zhang)‚ to appear in Studia Mathematica. 

 

 

荣誉及奖励

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