名师简介
沈维孝 1975年5月生,安徽贵池人.1995年7月毕业于中国科大数学系, 1996.4-2001.3留学于日本东京大学,理学博士. 主要研究方向为复动力系统. 工作简历 2001.11-2004.9 英国华威(Warwick)大学数学系Research Fellow 2004.9- 中国科大数学系教授 教学概况 2004-2005春 一维动力系统 2005-2006秋 复变函数、流形与微分几何（与左达峰） 2005-2006春 复动力系统 2006-2007秋 复变函数 2006-2007春 实变函数 2007-2008秋 常微分方程、一维动力系统（与李思敏） 科研情况 研究方向为复动力系统. 主要从事(运用复分析工具)对区间映射迭代性质的研究. 发表及完成论文: 1． W.Shen. Bounds for one-dimensional maps without inflection critical points. J. Math.Sci., Tokyo, 卷10 (2003), 41-88页 2. W.Shen. On the measurable dynamics of real rational functions. Ergodic Theory Dyn. Syst. 卷23(2003). 957-983页 3. H.Bruin, W.Shen, S.van Strien. Invariant measures exist without a growth condition. Commun. Math. Phys. 卷241 (2003), 877-906页 4. W.Shen. On the metric properties of multimodal interval maps and C2 density of Axiom A. Invent. Math. 卷156 (2004), 301-403页 5. W.Shen. Decay geometry for unimodal maps: An elementary proof. Ann. Math. 卷163 （2006） 383-404页 6. O.Kozlovski, W.Shen, S.van Strien. Rigidity for real polynomials. Ann. Math. 165 (2007) 749-841页 7. H.Bruin, W.Shen, S.van Strien. Existence of SRB measures is typical for the family of unimodal polynomials. Ann. Sci. Ecole. Norm. Sup. 39 (2006) 381-414页 8. O.Kozlovski, W.Shen, S.van Strien. Density of hyperbolicity in real one-dimensional dynamics. Ann. Math. 166 (2007) 145-182页 9. W.Shen, M.Todd. A C^k version of the real Koebe principle. Fund. Math. 185 (2005) 61-69页. 10. S.Li, W.Shen. Hausdorff dimension of Cantor attractors in one-dimensional dynamics. Invent. Math. 171 (2008) 345-387页 11. A.Avlia, J.Kahn, M.Lyubich, W.Shen. Combinatorial rigidity for unicritical polynomials. Ann. Math. accepted 12. S.Li, W.Shen. On unimodal maps with critical order close to 2. Fund. Math. 192 (2006) 77-86页 13. S.Li, W.Shen. Cr conjugacy of S-unimodal maps. Non-linearity 19 (2006) 1629-1634页 14. H. Bruin; J. Rivera-Letelier; W. Shen; S. van Strien. Large derivatives, backward contraction and invariant densities for interval maps. Invent. Math. accepted 15. H. Li; W. Shen. Dimensions of rational maps satisfying the backward contraction property. Fund. Math. 198 (2008) 165-176页