黄文

黄文 1975年10月生于四川省彭州市， 1994.9-1998.7就读中国科技大学数学系，获理学学士学位 1998.9－2003.7中国科技大学数学系读博，获理学博士学位， 导师叶向东教授。 2001年6月留校工作。 2004年1月晋升为副教授。 2007年12月晋升为教授。 工作简历 一、工作情况(包括访问) 2001年6月留校任教。 2004年1月晋升为副教授。 2007年12月晋升为教授。 2002.3.27-2002.4.25赴智利智利大学数学系进行合作研究. 2004.4.1- 2004.12.11赴美国乔治亚理工学院数学院进行访问. 2004.12.12-2005.11.29赴法国马赛Institut de Mathematique de Luminy进行访问. 2005.6.6-2005.6.12赴韩国数理高等研究院进行访问. 2005.11.30-2005.12.27赴智利智利大学数学系进行合作研究 2006.7.26-2006.8.25赴CUHK数学系访问. 2006.10.3-2006.10.15赴美国Wisconsion大学数学系进行访问 2007.2.4-2007.2.7赴韩国Ajou University数学系进行访问. 2008.2.?-2008.2.?赴CUHK数学系访问. 2009.1.8-2009.1.22赴CUHK数学系访问. 2009.2.20- 赴美国乔治亚理工学院数学院进行访问. 二、开会情况 a）国际 1.2001.7.30-2001.8.17参加意大利Trieste召开的动力系统会议和高级研讨班； 2.2002.3.23-2002.3.26参加美国马里兰大学数学系召开的拓扑动力系统会议； 3.2004.7.20- 2004.7.24参加美国stanford大学数学系召开的Ornstein fest会议; 4.2005.7.4-2005.7.8参加法国CIMR召开的Systèmes dynamiques en dimension infinie 5.2007.6.17-2007.6.23, Visegrad Conference Dynamical Systems, High Tatras 2007, ?trbské Pleso, Slovakia (报告题目： Stable sets and stable sets in positive entropy systems) 6. 2009.3. 27-29, 2009 AMS Spring Central Sectional Meeting， University of Illinois at Urbana-Champaign, Urbana, IL， USA b)国内 1. 1998年8月9-12日, 动力系统国际会议,北京大学 2. 2005年7月19-23日, International conference of dynamical systems, 黄山. 3.2006.5.24-2006.5.30参加台湾NCTS召开的International Conference on Chaos and Dynamical Complexity. 4. 2006年12月15-19日, International Conference on Bifurcation Theory of Dynamical Systems and Related Topics, 北京大学 (报告题目： The size of scrambled sets) 5. 2007年7月15日-21日,2007柳州拓扑动力系统、遍历理论国际学术研讨会, 广西柳州师专 (报告题目：Local theory of Pressure) 6. 2007年8月1日至14日, 第二届“全国动力系统暑期学校”, 吉林大学 (报告题目：Periodicity, Almost Periodicity and Almost autumorphic) 三、学术报告 1. 2006.8.3, 香港中文大学数学系, The Local Theory of Entropy (Part 1); 2006.8.8, 香港中文大学数学系, The Local Theory of Entropy (Part 2); 2006.8.10, 香港中文大学数学系, The Local Theory of Entropy (Part 3); 2006.8.15, 香港中文大学数学系, The Local Theory of Entropy (Part 4); 2. 2008.2.16, 香港中文大学数学系, Stable sets and scrambled sets in positive entropy systems (I)(II) 教学概况 一、本科生课程 1. 2001.9-2002.1 微积分A1(主讲) S 2. 2002.2-2002.7 微积分A3(主讲) S 3. 2002.9-2003.1 复变函数A(主讲) S 4. 2003.2-2003.7 拓扑学(助教) E 5. 2004.2-2004.4 近世代数(主讲) T 41 6. 2006.2-2006.7 拓扑学（主讲） F 134 7. 2006.9-2007.1 复变函数A(主讲) S 165 8.2007.2-2007.7 泛函分析(主讲) E 155 9.2007.9-2008.1 泛函分析(主讲) E 122 10.2008.2-2008.7 实变函数(主讲) E 二、研究生课程 1. 2006.2-2006.7 遍历理论I(主讲) E 4 2. 2006.9-2007.1 遍历理论II(主讲) F 7 3. 2007.9-2008.1 遍历理论(主讲) F 7 学时： E 80, S 60, F 40, T 30 . 科研情况 研究方向：遍历理论及拓扑动力系统(Research field: Ergodic Theory and topological dynamics.) 当前， 主要学习和研究的是： 1). 拓扑动力系统及其应用方面： a).与熵有关的一些问题: 熵和压的变分原理；熵、Lyapunov指数和维数关系等. b).Abury-Mather理论(学习中)与几乎自守属性. c). Lyapunov指数与Schrodinger算子的谱等(学习中). 2). 遍历理论及其应用方面：多重遍历定理和Erdos-Turan猜测、Furstenberg猜测等. 一、发表的论文(Published) 1. W. Huang and X. Ye, Non-wandering sets of powers of map of a tree, Science in China A, 44 (2001), no. 1, 31--39. 2. W. Huang and X. Ye, Homeomorphisms with the whole compacta being scrambled sets, Ergod. Th. and Dynam. Sys., 21(2001), 77-91. (11) 3. W. Huang and X. Ye, Devaney's chaos and 2-scattering imply Li-Yorke's chaos, Topology Appli., 117(2002), 259-272. (48) 4. W. Huang and X. Ye, An explicit scattering, non-weakly mixing example and weak disjointness, Nonlinearity, 15(2002), 849-862. (10) 5. W. Huang, S. Li, S. Shao and X. Ye, Null systems and sequence entropy pairs, Ergod. Th. and Dynam. Sys.. 23(2003), 1505-1523. (13) 6. W. Huang, S. Shao and X. Ye, Mixing and proximal cell along sequences, Nonlinearity, 17(2004), No 4, 1245-1260. (5) 7. W. Huang and X. Ye, Minimal sets in almost equicontinuous systems, Proc. of the Steklov Inst. of Math., Vol 244(2004), 280-287. 8. W. Huang and X. Ye, Topological complexity, return times and weak disjointness, Ergod. Th. and Dynam. Sys., 24(2004), No.3, 825-846. (8) 9. W. Huang, A. Maass, P. P. Romagnoli and X. Ye, Entropy pairs and a local abramov formula for the MTE of open covers, Ergod. Th. and Dynam. Sys., 24(2004), No.4, 1127-1153. (3) 10. W. Huang, A. Maass and X. Ye, Sequence entropy pairs and complexity pairs for a measure, Annales de l'Institut Fourier, 54(2004), No.4, 1005-1028. (4) 11. W. Huang and X. Ye, Dynamical systems disjoint from any minimal system, Trans. Amer. Math. Soc. 357 (2005), 669-694. (4) 12. W. Huang, S. Shao and X. Ye, Mixing via sequence entropy, Contemporary Mathematics, vol 385(2005), 101-122. (3) 13. W. Huang and X. Ye, A local variational relation and applications, Israel Journal of Mathematics, 151(2006), 237-280. (6) 14. W. Huang, X. Ye and G. Zhang, A local variational principle for conditional entropy, Ergod. Th.and Dynam. Sys., 26(2006), No.1, 219-245. (4) 15. D. Dou, W. Huang and X. Ye, Null flows and null functions on R, Journal of Dynamical system and differential equation, 18(2006),no. 1, 197-221. 16. W. Huang, Tame systems and scrambled pairs under an abelian group action, Ergod. Th.and Dynam. Sys., 26(2006),no. 4, 1549-1567. (6) 17. W. Huang, K.K. Park and X. Ye, Topological disjointness from entropy zero systems. Bull. Soc. Math. France 135 (2007), no. 2, 259--282. 18. W. Huang, X. Ye and G. Zhang, Relative topological Pinsker factors, Relative U.P.E. and C.P.E. extension, Israel Journal of Mathematics, 158(2007), 249-283. (3) 19. W. Huang and Y. Yi, A local variational principle for pressure and its applications to equilibrium states, Israel Journal of Mathematics, 161(2007), 29-74. (1) 20. F. Blanchard, W. Huang and L. Snoha, Topological size of scrambled sets, Colloq. Math. 110 (2008), 293-361. (2) 21. F. Blanchard and W. Huang, Entropy set, weakly mixing set and Entropy capacity,Discrete and Continuous Dynamical Systems Ser. A. 20(2008), No.2, 275 - 311. (3) 22. Y. Cao, D. Feng and W. Huang, The thermodynamic formalism for sub-multiplicative potentials, Discrete and Continuous Dynamical Systems Ser. A., 20(2008), No.3, 639-657. (2) 23. W. Huang, Stable sets and e-stable sets in positive-entropy systems, Communications in Mathematical Physics, 279(2008), No.2, 535-557. 24. W. Huang and X. Ye, Combinatorial lemmas and application to dynamics, Advance in Mathematics, 220(2009), No. 6, 1689-1716 . 25. W. Huang and Y.F.Yi, Almost periodically forced circle flows, Journal of Functional Analysis, 257 (2009) 832–902. (3) 二、接受待发表的论文(accepted) 26. D. Dou, W.Huang and K.K. Park, Entropy dimension of topological dynamics, Trans. Amer. Math. Soc., to appear. 27. W.Huang, X.Ye and G. Zhang, Lowering topological entropy over subsets, Ergod. Th.and Dynam. Sys., to appear. 28. E. Akin, E. Glasner, W. Huang, S. Shao and X. Ye, Sufficient conditions under which a transitive system is chaotic, (Ergod. Th.and Dynam. Sys.基本接受). 三、已送审的论文(submitted) 29. W.Huang, P. Lu and X.Ye, Measure-theoretical sensitity and equicontuity, submitted 2008. 30. C.Fang, W. Huang and P.F. Zhang, Dimension of stable sets and scrambled sets in positive finite entropy systems, submitted 2008. 31. D.J. Feng and W. Huang, Lyapunov spectrum of sub-additive potentials, submit 2009. 四、预印本(preprint) 32. W. Huang and X. Ye, Generic eginvalue, generic factor and weak disjointness, preprint, 2003. 33. W. Huang, X. Ye and G. Zhang, Local entropy theory for a countable discrete amenable group action, preprint 2006. 五、正在撰写的(In preparation) 34. D.J. Feng and W. Huang, Variational principle for subsets, draft. 35. W. Huang, H.F. Li and X.Ye, Family-independence for topological and measurable dynamics, draft. 36. W. Huang, H.F. Li and X. Ye, Localization and dynamical Ramsey property, draft. 37. D.Dou, W.Huang and K.K. Park, Entropy dimension of Measure-preserving systems, draft. 38. W.Huang, X.Ye and G. Zhang, Lowering topological entropy over subsets(II), draft. 39. W.Huang, X. Ye and P.F.Zhang, A new topological entropy for non-compact set and its application, draft. 六、学术专著和综述性文章(book and survey) 1. 叶向东、黄文和邵松，《拓扑动力系统概论》，2008年出版，科学出版社. 2. 黄文和叶向东，动力系统复杂性与点串，中国科学院研究生院学报, 2006年第05期, 701-707.