Shaobo GAN

School of Mathematical Sciences

Peking University

Beijing 100871

People's Republic of China

Email: gansb@math.pku.edu.cn

Tel: 10-62756071 (O)

Office: Science Building 14106

Fax: 10-62751801

International Workshop on Global Dynamics Beyond Uniform Hyperbolicity

光华管理学院2011级高等数学（B）上（教学进度及作业）

Personal information

Birth: September 10, 1969,

in Cai-Tan Village, Tian-Men County, Hubei Province, China

Citizenship: Chinese

Teaching experience

　

2005.8--    Peking University  Professor

2000.8--2005.8 Peking University   Associate Professor

1997.7--2000.8 Peking University   Lecturer

1998.2--1999.8 ICTP, Trieste, Italy Postdoc

1992.8--1994.8 Tsinghua University Assistant Professor

Education

1985.09--1989.07 Tsinghua University, Beijing B. S.

1989.10--1992.07 Peking University, Beijing   M. S.

1994.09--1997.07 Peking University, Beijing   Ph. D.

Publications

Wen Xiao, Gan Shaobo, and Wen Lan, C1-stably shadowable chain components are hyperbolic, Journal of Differential Equations (2008), in press.

Zhu Shengzhi, Gan Shaobo, and Wen Lan, Indices of singularities of robustly transitive sets, Discrete and Continuous Dynamical Systems - Series A 21 (2008), 945--957.

Bonatti Christian, Gan Shaobo, and Wen Lan, On the existence of nontrivial homoclinic classes, Ergodic Theory and Dynamical Systems 27 (2007), 1473--1508.

Gan Shaobo, and Wen Lan, Nonsingular star flows satisfy Axiom A and the no-cycle condition, Invent. Math., 164 (2006), no. 2, 279--315.

文兰，甘少波，阻碍集、拟双曲性与线性横截性，北京大学学报（自然科学版），第42卷，第一期, 2006年1月，1-10.

Zhang Yong and Gan Shaobo, On Mane's proof of the $C^1$ stability conjecture, Acta Mathematica Sinica (English Series) 21 (2005), no. 3, 533-540.

Li Ming, Gan Shaobo and Wen Lan, Robustly transitive singular sets via approach of an extended linear Poincaré flow, Discrete and Continuous Dynamical Systems - Series A 13 (2005), no. 2, 239-269.

Gan Shaobo, A necessary and sufficient condition for the existence of dominated splitting with a given index, Trends in Mathematics 7 (December 2004), no. 2, 143-168

Gan Shaobo and Wen Lan, Heteroclinic cycles and homoclinic closures for generic diffeomorphisms, J. Dynam, Differential Equations 15 (2003), no. 2-3, 451—471.

Gan Shaobo, A generalized shadowing lemma, Discrete Contin. Dyn. Syst. 8 (2002), no. 3, 627-632.

Gan Shaobo, Horseshoe and entropy for $C\sp 1$ surface diffeomorphisms, Nonlinearity 15 (2002), no. 3, 841-848.

Shaobo GAN, Sturmian Sequences and the Lexicographic World,  Proceeding of American Mathematical Society, 129 (2001), no. 5, 1445-1451.

Shaobo GAN and Meirong ZHANG, Resonance pockets of Hill's equations with two-step potentials, SIAM Journal on Math. Analysis, 32 (2000), no. 3, 651-664.

Shaobo Gan, The Star Systems X^* and a Proof of the C¹ Omega-stability Conjecture for Flows, Journal of Differential Equations, 163 (2000) 1--17.

Meirong ZHANG and Shaobo GAN, Constructing resonance calabashes of Hill's equations using step potentials,  Proceedings of the Cambridge Philosophical Society, 129 (2000), 153--164.

Shaobo GAN, The Star Systems X^* and a Proof of the C¹ Omega-stability Conjecture for Flows, ICM 98 Berlin, Abstracts of Short Communications and Posters (1998), pp. 175.

Shaobo Gan, A Note on the Obstruction Sets of Discrete Systems, In: DYNAMICAL SYSTEMS, Proceedings of the International Conference in Honor of Professor Liao Shantao, Peking University, China, 9--12 August 1998, Eds. Yunping Jiang and Lan Wen, World Scientific, 55--61.

GAN Shaobo, Another proof for C¹ stability conjecture for flows, SCIENCE IN CHINA (Series A)  41 (October 1998), no. 10 1076--1082.

Shaobo GAN, Ergodic Theory of a Class of CA (in Chinese), Acta Scientiarum Naturalium Universitatis Pekinensis, 32 (May 1996), no. 3,  293--301.

Last revise time: September 19, 2009