1.  W. Huang, S.M. Li, S. Shao and X.D. Ye, Null systems and sequence entropy pairs, Ergodic Theory and Dynamical Systems, Vol. 23, No.5 (2003), 1505-1523.          

 

2.  S. Shao and X.D. Ye, Non-wandering sets of the powers of maps of a star, Discrete and Continuous Dynamical Systems, Vol.9, No.5 (2003),1175--1184.  

                        

3. S. Shao and X.D. Ye, F-mixing and weak disjointness, Topology and its Applications, Vol.135,  No. 1-3, (2004), 231-247.         

  

4.  W. Huang, S. Shao, and X.D. Ye, Mixing and proximal cell along sequences, Nonlinearity, Vol.17,  No. 4, (2004), 1245--1260.

 

5.  W. Huang, S. Shao and X.D. Ye, Mixing via sequence entropy, Contemporary Mathematics, vol 385, (2005), 101-122. ( Contemp. Math.)

 

6.  S. Shao, Dynamical systems with enveloping semigroup containing finitely many idempotents, J. China Univ. Sci. Tech. Vol.35, No.1, (2005), 12-24. 

 

7.  S. Shao, Proximity and distality via Furstenberg families, Topology and its Applications, Vol.153, (2006), 2055--2072.  

 

8. A. Maass and S. Shao, Structure of bounded topological-sequence-entropy minimal systems, Journal of the London Mathematical society, Vol 76, No.3 (2007), 702–718

9. J.H. Mai and S. Shao, The space of omega-limit sets of a graph map, Fundamenta Mathematicae,Vol.196, No.1 (2007), 91—100.  

10. J. H. Mai and S. Shao, The Structure of graph maps without periodic points, Topology and its Applications,  Vol 154, (2007), 2714-2728.

 

11. S.Shao, X.D. Ye and R.F. Zhang, Sensitivity and regionally proximal relation in minimal systems,  Science in China series A,  Vol. 51 (6), (2008), 987--994. 

 

12. J.H. Mai and S. Shao, $\overline{R}=R\bigcup \overline{P}$ for graph maps, Journal of Mathematical Analysis and Applications, Volume 350, Issue 1 (2009), 9-11. 

 

13. A. Coronel, A. Maass and S. Shao, Sequence entropy and rigid $\sigma-$algebras, Studia Mathematica, Vol 194 (2009), 207-230. 

 

14. E. Akin, E. Glasner, W. Huang, S. Shao and X.D. Ye, Sufficient conditions under which a transitive system is chaotic,  Ergodic Theory and Dynamical Systems，Vol. 30 (2010), 1277--1310.

 

15. J.H. Mai and S. Shao, Graph maps whose periodic points form a closed set, Journal of Mathematical Analysis and Applications, 371 (2010), 649—654 

 

16. 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

 

17. P.D. Dong, S. Shao and X.D. Ye, Product recurrent properties, disjointness and weak disjointness, Israel J. Math., 188 (2012), 463--507.

 

18. Shao S., Ye X.，Regionally proximal relation of order d is an equivalence one for minimal systems and a combinatorial consequence，Advances in Mathematics, 231 (2012), 1786-1817    

 

19. 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.

 

20. 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. 

 

21. W. Huang, S. Shao and X.D. Ye, Nil Bohr-sets and almost automorphy of higher order, Mem. Amer. Math. Soc. volume 241, Number 1143, 2016 

 

22. Z. Lian and S. Shao, Relatively weakly mixing models for dynamical systems,  Ergodic Theory and Dynamical Systems, 36 (2016), no. 4, 1204–1220.

 

23. 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. 

 

24. S. Donoso and S. Shao, Uniformly rigid models for rigid actions, Studia Mathematica, 236 (2017), no. 1, 13–31. 

 

25.    X. Ye  and S. Shao, Progress on some recurrence problems in dynamics (in Chinese).  Sci Sin Math, 47(2017), 53—76.

叶向东，邵松，动力系统中若干回复性问题的新进展（献给张芷芬教授90 华诞），中国科学: 数学，2017 年，第47 卷，第1 期: 53—76.

 

26.   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.  

 

27.    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.  

28.   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  

29.   S. Shao and X.D. Ye,  A non-PI minimal system is Li-Yorke sensitive, Proc. Amer. Math. Soc. Vol. 146, No.3, 1105–1112. ( March 2018)

30.   F. Cai and S. Shao, Topological characteristic factors along cubes of minimal systems. Discrete Contin. Dyn. Syst. 39 (2019), no. 9, 5301–5317.（2019年9月）

31.    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. 

32.   W. Huang, S. Shao and X.D. Ye,  Pointwise convergence of multiple ergodic averages and strictly ergodic models, J. Anal. Math. 139 (2019), no. 1, 265–305. 

33.   W. Huang, S. Shao and X.D. Ye, An answer to Furstenberg' problem on topological disjointness, Ergodic Theory and Dynamical Systems， 40 (2020), no. 9, 2467–2481. 

34.   E. Glasner, W. Huang, S. Shao and X.D. Ye, Regionally proximal relation of order d along arithmetic progressions and nilsystems, Sci China Math, 63 (2020), no. 9, 1757–1776. 

 

35.  W. Huang, Z. Lian, S. Shao and X.D. Ye, Minimal systems with finitely many ergodic measures，J. Funct. Anal., Volume 280, Issue 12, 15 June 2021, 109000， 42 pp

36.   Y. Cao and S. Shao, Topological mild mixing of all orders along polynomials. Discrete Contin. Dyn. Syst. 42 (2022), no. 3, 1163–1184.  

 

37. F. Cai and S. Shao, Topological characteristic factors and independence along arithmetic progressions, Israel J. Math., 249 (2022), no.1, 259-308.

38.   W. Huang, S. Shao and X.D. Ye, Multiply minimal points for the product of iterates, Israel J. Math., 251（2022）, 541-565.   

F-Ques-HSY-revised.pdf

 

39. Y. Cao and S. Shao, Almost proximal extensions of minimal flows, Ergodic Theory Dynam. Systems, 43 (2023), no. 12, 4041–4073.

40.   W. Huang, S. Shao and X.D. Ye, Parallels Between Topological Dynamics and Ergodic Theory,  Ergodic theory, 389–426, Encycl. Complex. Syst. Sci., Springer, New York, [2023] (August 2023) Encyclopedia of Complexity and Systems Science，2020 https://link.springer.com/referenceworkentry/10.1007/978-1-0716-2388-6_748

 

41.   W. Huang, S. Shao and X.D. Ye, A counterexample on polynomial multiple convergence without commutativity, Bull. Soc. Math. France 152 (2024), no. 1, 149–168.  

 

42. E. Glasner, W. Huang, S. Shao, B. Weiss and X.D. Ye , Topological characteristic factors and nilsystems, . J. Eur. Math. Soc. (JEMS) 27 (2025), no. 1, 279–331.  arXiv:2006.12385

43.   W. Huang, S. Shao and X.D. Ye, Topological dynamical systems induced by polynomials and combinatorial consequences. Adv. Math. 479 (2025), part B, Paper No. 110440, 70 pp. arXiv:2301.07873

44.   W. Huang, S. Shao and X.D. Ye, A counterexample on multiple convergence without commutativity. Proc. Amer. Math. Soc. 153 (2025), no. 12, 5251–5261.

45.   W. Huang, S. Shao and X.D. Ye, The polynomial Furstenberg joining and its applications. Sci. China Math. 69 (2026), no. 1, 93–166., arXiv:2301.07881

46.   W. Huang, J. Qiu, S. Shao, H. Xu and X.D. Ye, Nilpotent structures in dynamical systems, Acta Math Sinica, 2026

47.   W. Huang, S. Shao and X.D. Ye, Combinatorial properties of some big sets (in Chinese). Sci Sin Math, 2026 

PBD-6.pdf