教授
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吴伟胜

职称:教授

职务:

学历:博士

电子邮件:wuweisheng@xmu.edu.cn

联系电话:

办 公 室:数理大楼673

教育经历:

1. 2008/08-2014/08:Pennsylvania State University 数学系,理学博士

2. 2004/09-2008/07: 中国科学技术大学数学系,理学学士

工作经历:

1.2021/05- 厦门大学,教授

2.2016/09-2021/04,中国农业大学,讲师,副教授

3.2014/10-2016/09,北京大学,博士后

研究方向:

研究方向为动力系统和遍历论。感兴趣的课题包括部分双曲动力系统,黎曼和芬斯勒几何中的测地流,齐性动力系统与丢番图逼近,动力系统中的维数理论等。

学术专著: 

刘飞, 王方, 吴伟胜,测地流的动力学,38万字,2019年11月,科学出版社.

社会兼职:

美国《数学评论》(Mathematical Reviews) 评论员、德国《数学文摘》(Zentralblatt MATH) 评论员

授课情况:

讲授过的本科生课程有《实变函数》、《数学分析I》、《高等数学》、《离散数学》、《测度与积分》等,研究生课程有《遍历论》。


主持项目:

1. 2021-2024年, 国家自然科学基金面上项目: 几类微分动力系统的Kolmogorov-Bernoulli等价性问题, 主持

2. 2018-2020年, 国家自然科学基金青年科学基金项目: 部分双曲动力系统的非稠密轨道和中间熵, 主持

3. 2016-2019年, 国家自然科学基金面上项目: 正熵动力系统的不变集、测度和复杂性, 参与

4. 2015-2016年, 中国博士后科学基金第八批特别资助: 偏双曲动力系统非稠密轨道的Hausdorff维数及相关问题, 主持

5. 2013年10月, Pritchard Dissertation Fellowship (优秀博士论文奖), Pennsylvania State University

论文:

26. Weisheng Wu and Yujun Zhu, Entropy via Preimage Structure, Advances in Mathematics, 406 (2022), 108483.

25. Weisheng Wu, On relative metric mean dimension with potential and variational principles, Journal of Dynamics and Differential Equations, Published Online, DOI: https://doi.org/10.1007/s10884-022-10175-w

24. Weisheng Wu, On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms, Nonlinearity, 35 (2022): 2695-2721.

23. Xinsheng Wang, Weisheng Wu and Yujun Zhu, Local entropy via preimage structure, Journal of Differential Equations, 317 (2022) 639-684.

22. Xueting Tian and Weisheng Wu, Unstable entropies and dimension theory of partially hyperbolic systems, Nonlinearity, 35 (2022) 658-680.

21. Weisheng Wu, Local pressure of subsets and measures, Journal of Statistical Physics, 185 (2021), no. 2, Paper No. 9.

20. Xiaochen Li and Weisheng Wu, Bernoulli property of equilibrium states for certain partially hyperbolic diffeomorphisms, Journal of Dynamics and Differential Equations, Published Online, DOI: https://doi.org/10.1007/s10884-021-10057-7

19. Huyi Hu, Weisheng Wu and Yujun Zhu, Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms, Ergodic Theory and Dynamical Systems, 41 (2021), no. 11, 3336-3362.

18. Xinsheng Wang, Weisheng Wu and Yujun Zhu, Unstable entropy and unstable pressure for random partially hyperbolic diffeomorphisms, Stochastics and Dynamics, 21 (2021), no. 5, Paper No. 2150021, 31 pp.

17. Weisheng Wu and Yujun Zhu, On Preimage Entropy, Folding Entropy and Stable entropy, Ergodic Theory and Dynamical Systems, 41, no. 4, (2021), 1217–1249.

16. Zhiming Li, Weisheng Wu and Yujun Zhu, Preimage Pressure, Stable Pressure and Equilibrium States, Journal of Differential Equations, 269, no. 7, (2020), 6311-6342.

15. Xinsheng Wang, Weisheng Wu and Yujun Zhu, Unstable Entropy and Unstable Pressure for Partially Hyperbolic Endomorphisms, Journal of Mathematical Analysis and Applications, 486 (2020), no. 1, 123885.

14. Fei Liu, Fang Wang and Weisheng Wu, On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points, Discrete and Continuous Dynamical Systems. Series A. 40, no.3 (2020), 1517-1554.

13. Xinsheng Wang, Weisheng Wu and Yujun Zhu, Local unstable entropy and local unstable pressure for random partially hyperbolic diffeomorphisms, Discrete and Continuous Dynamical Systems. Series A. 40, no.1 (2020), 81-105.

12. Weisheng Wu, Local unstable entropy of partially hyperbolic diffeomorphisms, Ergodic Theory and Dynamical Systems, 40, no. 8, (2020), 2274–2304.

11. Weisheng Wu, Higher rank rigidity for Berwald spaces, Ergodic Theory and Dynamical Systems, 40, no. 7, (2020), 1991-2016.

10. Fei Liu, Fang Wang and Weisheng Wu, The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth, Science China Mathematics, 63, no. 7, (2020), 1323-1338

9. Weisheng Wu, Simultaneous dense and non-dense orbits for certain partially hyperbolic diffeomorphisms, Ergodic Theory and Dynamical Systems, 40, no.4, (2020), 1083-1107.

8. Weisheng Wu, Topological entropy of non-dense orbits and generalized Schmidt games, Ergodic Theory and Dynamical Systems, 39, no. 2, (2019), 500-530.

7. Weisheng Wu, On non-dense orbits of certain non-algebraic dynamical systems, Journal of Dynamics and Differential Equations, 2018, 30(2): 501–519.

6. Lifan Guan and Weisheng Wu, Bounded orbits of certain diagonalizable flows on SL_n(R)/SL_n(Z), Transactions of the American Mathematical Society, 2018, 370(7): 4661-4681.

5. Huyi Hu, Yongxia Hua and Weisheng Wu, Unstable entropies and variational principle for partially hyperbolic diffeomorphisms, Advances in Mathematics, 321, (2017), 31-68.

4.Lifan Guan, Peng Sun and Weisheng Wu, Measures of intermediate entropies and homogeneous dynamics, Nonlinearity, 30, (2017), 3349-3361

3.Weisheng Wu, Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems, Discrete and Continuous Dynamical Systems. Series A. 36, no. 6 (2016), 3463-3481

2.Weisheng Wu, Schmidt games and non-dense forward orbits of certain partially hyperbolic systems, Ergodic Theory and Dynamical Systems, 36, no. 5, (2016), 1656-1678

1. Weisheng Wu, On the ergodicity of geodesic flows on surfaces of nonpositive curvature, Annales de la Faculte des Sciences de Toulouse. Mathematiques. Serie 6, 24, no. 3 (2015), 625-639.

人才培养

博士后:杨依妮

博士生:王昌林

硕士生:王明涵,张希晨, 李晓琛(2019-2022)