Welcome to Xiangdong YE's Homepage!
Publications

Selected publications and preprints:

1. E. Glasner, W. Huang, S. Shao, B. Weiss and X.D. Ye, Topological characteristic factors and nilsystems, preprint, 2020, arXiv:2006.12385 in math.DS.

2. W. Huang, L. Xu and X.D. Ye: Polynomial mean complexity and logarithmic Sarnak conjecture, preprint, 2020.

3. W. Huang, Jian Li, J. Thouvenot, L. Xu and X.D. Ye, Bounded complexity, mean equicontinuity and discrete spectrum, arXiv:1806.02980, Ergod. Th. and Dynam. Sys., to appear.

4. Huang, Shao, X.D. Ye, An answer to Furstenberg' problem on topological disjointness, arXiv:1807.10155. Ergod. Th. and Dynam. Sys., to appear.

5. W. Huang, S. Shao and X.D. Ye, The parallels between topological dynamics and ergodic theory, Encyclopedia of Complexity and Systems Science, to appear in 2020.

6. W. Huang, S. Shao and X.D. Ye: Pointwise convergence of multiple ergodic averages and strictly ergodic models, J. Anal. Math., 139(2019), 265-305.

7. W. Huang, S. Shao and X.D. Ye, Topological correspondence of multiple ergodic averages of nilpotent actions, J. Anal. Math. 138(2019), no. 2, 687-715.

8. W. Huang, Z. Wang and X.D. Ye, Measure complexity and Möbius disjointness, Adv. in Math., 347(2019), 827-858.

9. E. Glasner, Y. Gutman and X.D. Ye, Higher order regionally proximal equivalence relations for general group actions, Adv. in Math., 333 (2018), 1004-1041.

10. W. Huang, Z. Lian, S. Shao, X.D. Ye, Sequences from zero entropy noncommutative toral automorphisms and Sarnak conjecture, J. Differential Equations, 263 (2017), no. 1, 779-810.

11. W. Huang, Jian Li, X.D. Ye, X.Y. Zhou, Positive entropy and diagonal weakly mixing sets, Adv. Math., 306(2017), 653-683.

12. W. Huang, S. Shao and X.D. Ye, Nil Bohr-sets and almost automorphy of higher order, Memoirs of Amer. Math. Soc., v. 241, No: 1143, 2016. 2

13. Jian Li, S. Tu and X.D. Ye, Mean equicontinuity and mean sensitivity, Ergod. Th. and Dynam. Sys., 35(2015), 2587-2612.

14. W. Huang, X.D. Ye and G.H. Zhang, Lowering topological entropy over subsets revisited, Trans. Amer. Math. Soc., 366 (2014), no. 8, 4423-4442.

15. W. Huang, Jian Li and X.D. Ye, Stable sets and mean Li-Yorke chaos in positive entropy systems, Journal of Functional Analysis, 266 (2014), 3377-3394.

16. P. Dong, S. Donoso, A. Maass, S. Shao and X.D. Ye, Infinite-step nilsystems, independence and complexity, Ergod. Th. and Dynam. Sys., 33(2013), 118-143.

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

18. W. Huang, H.F. Li and X.D. Ye, Family-independence for topological and measurable dynamics, Trans. Amer. Math. Soc., 364(2012), 5209-5242.

19. W. Huang, X.D. Ye and G.H. Zhang, Local theory of entropy for a countable discrete amenable group action, Journal of Functional Analysis, 261(2011), 1028-1082.

20. W. Huang, P. Lu and X.D. Ye, Measure-theoretical sensitivity and equicontinuity, Israel J. of Math., 183 (2011), 233-283.

21. E. Akin, E. Glasner, W. Huang, S. Shao and X.D. Ye, Sufficient conditions under which a transitive system is chaotic, Ergod. Th. and Dynam. Sys., 30(2010), 1277-1310.

22. W. Huang and X.D. Ye, Combinatorial lemmas and applications to dynamics, Adv. Math., 220 (2009), 1689-1716.

23. W. Huang and X.D. Ye, A local variational relation and applications, Israel J. of Math., 151(2006), 237-279.

24. W. Huang and X.D. Ye, Dynamical systems disjoint from any minimal system, Trans. Amer. Math. Soc., 357(2005), 669-694.

25. W. Huang, A. Maass and X.D. Ye, Sequence entropy pairs and complexity pairs for a measure, Annales de l'Institut Fourier, 54(2004), 1005-1028.

26. W. Huang, A. Maass, P. Romagnoli and X.D. Ye, Entropy pairs and a local abramov formula for the mte of open covers, Erg. Th. and Dynam. Sys., 24(2004), 1127-1153.

27. W. Huang and X.D. Ye, Topological complexity, return times and weak disjointness, Erg. Th. Dynam. Sys., 24(2004), 825-846.

28. W. Huang, Simin Li, S. Shao and X.D. Ye, Null systems and sequence entropy pairs, Ergod. Th. and Dynam. Sys., 23(2003), 1505-1523.

29. T. Downarowicz and X.D. Ye, When every point is either transitive or periodic, Colloq. Math., 93(2002), 137-150.

30. W. Huang and X.D. Ye, Devaney's chaos or 2-scattering implies Li-Yorke's chaos, Topology Appli., 117(2002), 259-272.


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