个人信息Personal Information
教授
博士生导师
硕士生导师
教师英文名称：Song Shao
电子邮箱：
学历：研究生(博士)毕业
学位：博士
- J.H. Mai and S. Shao, Forcing Relation on Patterns of invariant sets and reductions of interval maps, Transactions of the AMS, 363 (2011), 2517--2549.
- P.D. Dong, S. Shao and X.D. Ye, Product recurrent properties, disjointness and weak disjointness, Israel J. Math., 188 (2012), 463--507.
- S. Shao and X.D. Ye, Regionally proximal relation of order d is an equivalence one for minimal systems and a combinatorial consequence, Advances in Mathematics, 231 (2012), 1786--1817.
- P.D. Dong, S. Donoso, A. Maass, S. Shao and X.D. Ye, Infinite-step nilsystems, independence and complexity, Ergodic Theory and Dynamical Systems, vol.33 (2013),118--143.
- J.H. Mai and S. Shao, Chaotic expansive homeomorphisms on closed orientable surfaces of positive genus, Communications in Mathematics and Statistics, 3 (2015), 291--314.
- Z. Lian and S. Shao, Relatively weakly mixing models for dynamical systems, Ergodic Theory and Dynamical Systems, 36 (2016), no. 4, 1204–1220.
- W. Huang, S. Shao and X.D. Ye, Nil Bohr0-sets, Poincare recurrence and generalized polynomials, preprint, 2011.
- W. Huang, S. Shao and X.D. Ye, Higher order almost automorphy, recurrence sets and the regionally proximal relation, preprint, 2011. pdf * The above two paper are put into one paper entitiled "Nil Bohr-sets and almost automorphy of higher order", Memoirs of the AMS, volume 241, Number 1143, 2016.
- Z. Lian, S. Shao and X.D. Ye, Weakly mixing, proximal topological models for ergodic systems and applications, Fundamenta Mathematicae,236 (2017), no. 2, 161--185.
- S. Donoso and S. Shao, Uniformly rigid models for rigid actions, 236 (2017), no. 1, 13--31.Studia Mathematica,2017,23613-31.
- X.D. Ye and S. Shao, Progress on some recurrence problems in dynamics (dedicated to the 90th birthday of Prof. Zhifen Zhang) (in Chinese), Sci Sin Math, 47(2017), 53—76.
- W. Huang, S. Shao and X.D. Ye, Strictly ergodic models under face and parallelepiped group actions,Commun. Math. Stat. 5 (2017), no. 1, 93--122.
- W. Huang, Z. Lian, S. Shao and X.D. Ye, Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture. J. Differential Equations , 263 (2017), no. 1, 779--810.
- Y. Gutman, W. Huang, S. Shao and X.D. Ye, Almost sure convergence of the multiple ergodic average for certain weakly mixing systems, Acta Math Sinica, 2018 Vol. 34 (1): 79-90.
- W. Huang, S. Shao and X.D. Ye, Topological correspondence of multiple ergodic averages of nilpotent group actions, J. Anal. Math. 138 (2019), no. 2, 687–715.