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專家信息 科學研究 論文專著 榮譽獎勵

專家信息:


李文俠,男,1963年3月生。現任華東師范大學數學系教授、博士生導師。

教育及工作經歷:

1993年7月獲理學博士學位。

1995年7月至1996年6月赴美國University of Californian at Berkeley 及Georgia Institute of Technology 作學術訪問。

1998年10月至1999年10月在荷蘭Delft理工大學數學系做博士后研究。

2000年6月至2000年12月在荷蘭Delft理工大學數學系作學術訪問。

社會兼職:

1.陀區致公黨華東師大直屬支部主委。

2.華東師大特邀監察員(2006.12--2009.12)。

3.普陀區政協委員‚美國《數學評論》評論員。

科學研究:


研究方向:

分形幾何及其應用;DNA計算的數學理論。

承擔科研項目情況:

1.“非線性動力系統的全局理論及其應用”。

2.“非線性系統動力學研究”。

3.國家自然科學基金項目:“分形與小波及其應用”(10571058,2006.1---2008.12)。

科研成果:

資料更新中……

論文專著:


發表論文:

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.

34 自仿Sierpinski地毯中集合的維數 張俊雅; 孔德榮; 李文俠 數學年刊A輯(中文版) 2010-04-15

35 Chair Tilings非周期藝術圖案的生成 鄒玉茹; 李文俠; 魯堅 計算機輔助設計與圖形學學報 2006- 04-30

36 正四面體生成的Sierpinski海綿的Hausdorff測度 陳映洲; 桂詠新; 李文俠 華東師范大學學報(自然科學版) 2008-01-15

榮譽獎勵:


1.獲2002年教育部科學技術獎一等獎。

2.獲2006年上海市自然科學獎二等獎。

資料更新中……

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