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曹春雷

  • 职称：中级
  • 所属院系：数学与统计学院  
  • 成果数量：3条，属于本单位的个人成果3条

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[外文期刊] Topological properties of certain iterated entire maps

作者： Cao,Chunlei1;Wang,Yuefei2;Zhao,Huayu3; （1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2School of Mathematics, Shenzhen University and Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100080, China;3Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China）

出处： Analysis and Mathematical Physics 2024 Vol.14 No.2

摘要： In this paper it is shown that for a transcendental entire map with certain properties on the distribution of either its zeros, or points in its perio ...

[外文期刊] On the Dynamics of Entire Maps with Symmetry

作者： Chun-Lei Cao1;Yue-Fei Wang2,3;CA1 （1School of Mathematics and Statistics, Beijing Institute of Technology, 100081, Beijing, China;2School of Mathematics and Statistics, Shenzhen University, 518060, Shenzhen, China;3Institute of Mathematics, AMSS, Chinese Academy of Sciences, 100080, Beijing, China）

出处： Journal of Dynamics and Differential Equations 2024 Vol.36 No.1 P279-319

关键词： Fatou set;Julia set;Entire map;Symmetry;Wandering domain

摘要： This paper presents a detailed study of the dynamics of transcendental entire maps which are symmetric with respect to rays of the form Lambda (a, the ...

[外文期刊] On the Dynamics of Entire Maps with Symmetry SCIE

作者： Cao, Chunlei1;Wang, Yuefei2,3; （1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2School of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, China;3Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100080, China）

出处： Journal of Dynamics and Differential Equations 2022 P1-41

关键词： Entire map;Fatou set;Julia set;Symmetry;Wandering domain

摘要： This paper presents a detailed study of the dynamics of transcendental entire maps which are symmetric with respect to rays of the form Λ(a,θ)={teiθ+a ...

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曹春雷中级简介

Educational Background

　　

　　09/2000-07/2003: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing

　　Degree and Major: Ph D., Pure Mathematics

　　Research Focus: Iteration Theory of Complex Analytic Functions

　　

　　09/1997-07/2000: Jiangxi Normal University, Jiangxi

　　Degree and Major: M.S., applied mathematics

　　Research Focus: Complex Oscillation Theory of Linear Differential Equations

　　

　　09/1993-07/1997: Hubei Normal University, Hubei

　　Degree and Major: B.S., mathematics education

Working Experience

　　07/2003-       : School of Mathematics and Statistics

　　Beijing Institute of Technology,

　　No. 5 South Zhong Guan Cun Street

　　Haidian District, Beijing 100081, P. R. China

　　Position: Lecturer

　　Duties: Teaching and researching on mathematics

Teachings

07/2003-      : Complex Analysis, Linear Algebra

Publications

　　1. Cai Liang, Cao Chunlei, Wang Yanhua, Yang Guoxiao，Performance Analysis of A Track Before Detect Dynamic Programming Algorithm via Generalized Pareto Distribution，IET International Radar Conference, 2013.

　　2. Cai Liang, Cao Chunlei, Wang Yanhua, Yang Guoxiao, Liu Shulin, Zheng Le, A Secure Threshold of Dynamical Programming Techniques for Track-Before-Detect，IET International Radar Conference, 2013.

　　3. Cao Chunlei and Wang Yuefei, Boundedness of Fatou components of holomorphic maps，Journal of Dynamics and Differential Equations, 2004,16(2): 377-384.

　　4. Cao Chunlei and Wang Yuefei, On completely invariant Fatou components, Arkiv for Matematik, 2003,41(2)：253-265.

　　5. Cao Chunlei and Wang Yuefei, On the simple connectivity of Fatou components, Acta Mathematica Sinica, 2002,18(4):625-630.

　　6. Cao Chunlei and Chen Zongxuan, On the orders and zeros of the solutions of certain linear differential equations with entire coefficients (in Chinese), Acta Mathematicae Applicatae Sinica, 2002, 25(1): 123-131.

　　7. Cao Chunlei and Chen Zongxuan, On the complex oscillation of solutions of certain second order linear differential equations (in Chinese), Journal of Jiangxi Normal University (Natural Sciences Edition), 2000, 24(1): 28-33,44.

Visiting Positions

10/2014-09/2015 : Visiting Scholar, Northern Illinois University, Illinois, USA

Research Projects

　　01/2006-12/2006: Tianyuan Foundation of the Natural Science Foundation of China (10526005)

　　Title: Some research on dynamics of transcendental analytic functions

　　01/2012-12/2014:  Natural Science Foundation of China (11101048)

　　Title: Some Research on properties and applications of complex differential equations-Painleve Equations

Awards, Honors and Recognitions

2003: Procter & Gamble Award for outstanding doctoral student of Chinese Academy of Sciences

Graduate Students

Conference Talks and Invited Presentations

Conference Organization

Grants & Scholarships Assessor

International Refereed Journals

International Refereed Proceedings

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讲师

Educational Background

　　

　　09/2000-07/2003: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing

　　Degree and Major: Ph D., Pure Mathematics

　　Research Focus: Iteration Theory of Complex Analytic Functions

　　

　　09/1997-07/2000: Jiangxi Normal University, Jiangxi

　　Degree and Major: M.S., applied mathematics

　　Research Focus: Complex Oscillation Theory of Linear Differential Equations

　　

　　09/1993-07/1997: Hubei Normal University, Hubei

　　Degree and Major: B.S., mathematics education

Working Experience

　　07/2003-       : School of Mathematics and Statistics

　　Beijing Institute of Technology,

　　No. 5 South Zhong Guan Cun Street

　　Haidian District, Beijing 100081, P. R. China

　　Position: Lecturer

　　Duties: Teaching and researching on mathematics

Teachings

07/2003-      : Complex Analysis, Linear Algebra

Publications

　　1. Cai Liang, Cao Chunlei, Wang Yanhua, Yang Guoxiao，Performance Analysis of A Track Before Detect Dynamic Programming Algorithm via Generalized Pareto Distribution，IET International Radar Conference, 2013.

　　2. Cai Liang, Cao Chunlei, Wang Yanhua, Yang Guoxiao, Liu Shulin, Zheng Le, A Secure Threshold of Dynamical Programming Techniques for Track-Before-Detect，IET International Radar Conference, 2013.

　　3. Cao Chunlei and Wang Yuefei, Boundedness of Fatou components of holomorphic maps，Journal of Dynamics and Differential Equations, 2004,16(2): 377-384.

　　4. Cao Chunlei and Wang Yuefei, On completely invariant Fatou components, Arkiv for Matematik, 2003,41(2)：253-265.

　　5. Cao Chunlei and Wang Yuefei, On the simple connectivity of Fatou components, Acta Mathematica Sinica, 2002,18(4):625-630.

　　6. Cao Chunlei and Chen Zongxuan, On the orders and zeros of the solutions of certain linear differential equations with entire coefficients (in Chinese), Acta Mathematicae Applicatae Sinica, 2002, 25(1): 123-131.

　　7. Cao Chunlei and Chen Zongxuan, On the complex oscillation of solutions of certain second order linear differential equations (in Chinese), Journal of Jiangxi Normal University (Natural Sciences Edition), 2000, 24(1): 28-33,44.

Visiting Positions

10/2014-09/2015 : Visiting Scholar, Northern Illinois University, Illinois, USA

Research Projects

　　01/2006-12/2006: Tianyuan Foundation of the Natural Science Foundation of China (10526005)

　　Title: Some research on dynamics of transcendental analytic functions

　　01/2012-12/2014:  Natural Science Foundation of China (11101048)

　　Title: Some Research on properties and applications of complex differential equations-Painleve Equations

Awards, Honors and Recognitions

2003: Procter & Gamble Award for outstanding doctoral student of Chinese Academy of Sciences