Huang, Wen; Shao, Song; Ye, Xiangdong Multiply minimal points for the product of iterates. (English) Zbl 1528.37003 Isr. J. Math. 251, No. 2, 541-565 (2022). MSC: 37A30 37D40 37H15 PDFBibTeX XMLCite \textit{W. Huang} et al., Isr. J. Math. 251, No. 2, 541--565 (2022; Zbl 1528.37003) Full Text: DOI arXiv
García-Ramos, Felipe; Jäger, Tobias; Ye, Xiangdong Mean equicontinuity, almost automorphy and regularity. (English) Zbl 1478.37014 Isr. J. Math. 243, No. 1, 155-183 (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37B05 37B02 37B25 PDFBibTeX XMLCite \textit{F. García-Ramos} et al., Isr. J. Math. 243, No. 1, 155--183 (2021; Zbl 1478.37014) Full Text: DOI arXiv
Huang, Wen; Lian, Zhengxing; Shao, Song; Ye, Xiangdong Minimal systems with finitely many ergodic measures. (English) Zbl 1465.37006 J. Funct. Anal. 280, No. 12, Article ID 109000, 42 p. (2021). MSC: 37A25 37A35 37B05 37A15 37B40 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Funct. Anal. 280, No. 12, Article ID 109000, 42 p. (2021; Zbl 1465.37006) Full Text: DOI arXiv
Li, Jie; Ye, Xiangdong; Yu, Tao Mean equicontinuity, complexity and applications. (English) Zbl 1460.37009 Discrete Contin. Dyn. Syst. 41, No. 1, 359-393 (2021). MSC: 37B05 37B02 37B25 PDFBibTeX XMLCite \textit{J. Li} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 359--393 (2021; Zbl 1460.37009) Full Text: DOI
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong Bounded complexity, mean equicontinuity and discrete spectrum. (English) Zbl 1456.37015 Ergodic Theory Dyn. Syst. 41, No. 2, 494-533 (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37B05 37B02 37A35 PDFBibTeX XMLCite \textit{W. Huang} et al., Ergodic Theory Dyn. Syst. 41, No. 2, 494--533 (2021; Zbl 1456.37015) Full Text: DOI arXiv
Glasner, Eli; Huang, Wen; Shao, Song; Ye, Xiangdong Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems. (English) Zbl 1451.37015 Sci. China, Math. 63, No. 9, 1757-1776 (2020). MSC: 37B02 37B05 37A30 PDFBibTeX XMLCite \textit{E. Glasner} et al., Sci. China, Math. 63, No. 9, 1757--1776 (2020; Zbl 1451.37015) Full Text: DOI arXiv
Huang, Wen; Shao, Song; Ye, Xiangdong Pointwise convergence of multiple ergodic averages and strictly ergodic models. (English) Zbl 1434.37001 J. Anal. Math. 139, No. 1, 265-305 (2019). MSC: 37A30 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Anal. Math. 139, No. 1, 265--305 (2019; Zbl 1434.37001) Full Text: DOI arXiv
Huang, Wen; Shao, Song; Ye, Xiangdong Topological correspondence of multiple ergodic averages of nilpotent group actions. (English) Zbl 1446.37006 J. Anal. Math. 138, No. 2, 687-715 (2019). MSC: 37A30 37B05 22F30 22D40 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Anal. Math. 138, No. 2, 687--715 (2019; Zbl 1446.37006) Full Text: DOI arXiv
Huang, Wen; Wang, Zhiren; Ye, Xiangdong Measure complexity and Möbius disjointness. (English) Zbl 1415.37020 Adv. Math. 347, 827-858 (2019). MSC: 37B40 54H20 11K31 PDFBibTeX XMLCite \textit{W. Huang} et al., Adv. Math. 347, 827--858 (2019; Zbl 1415.37020) Full Text: DOI arXiv
Glasner, Eli; Gutman, Yonatan; Ye, Xiang Dong Higher order regionally proximal equivalence relations for general minimal group actions. (English) Zbl 1394.37016 Adv. Math. 333, 1004-1041 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 37B05 37B10 37C15 37B20 54H20 PDFBibTeX XMLCite \textit{E. Glasner} et al., Adv. Math. 333, 1004--1041 (2018; Zbl 1394.37016) Full Text: DOI arXiv
Ye, Xiangdong; Yu, Tao Sensitivity, proximal extension and higher order almost automorphy. (English) Zbl 1386.37012 Trans. Am. Math. Soc. 370, No. 5, 3639-3662 (2018). Reviewer: Mihai Turinici (Iaşi) MSC: 37B05 54H20 PDFBibTeX XMLCite \textit{X. Ye} and \textit{T. Yu}, Trans. Am. Math. Soc. 370, No. 5, 3639--3662 (2018; Zbl 1386.37012) Full Text: DOI arXiv
Gutman, Yonatan; Huang, Wen; Shao, Song; Ye, Xiang Dong Almost sure convergence of the multiple ergodic average for certain weakly mixing systems. (English) Zbl 1383.37002 Acta Math. Sin., Engl. Ser. 34, No. 1, 79-90 (2018). MSC: 37A30 37A05 37B05 37A25 PDFBibTeX XMLCite \textit{Y. Gutman} et al., Acta Math. Sin., Engl. Ser. 34, No. 1, 79--90 (2018; Zbl 1383.37002) Full Text: DOI arXiv
Huang, Wen; Shao, Song; Ye, Xiangdong Strictly ergodic models under face and parallelepiped group actions. (English) Zbl 1385.37004 Commun. Math. Stat. 5, No. 1, 93-122 (2017). Reviewer: Yujun Zhu (Xiamen) MSC: 37A30 37B05 37A05 37A25 37B10 PDFBibTeX XMLCite \textit{W. Huang} et al., Commun. Math. Stat. 5, No. 1, 93--122 (2017; Zbl 1385.37004) Full Text: DOI
Kwietniak, Dominik; Li, Jian; Oprocha, Piotr; Ye, XiangDong Multi-recurrence and van der Waerden systems. (English) Zbl 1365.37015 Sci. China, Math. 60, No. 1, 59-82 (2017). MSC: 37B20 37B05 37A25 05D10 PDFBibTeX XMLCite \textit{D. Kwietniak} et al., Sci. China, Math. 60, No. 1, 59--82 (2017; Zbl 1365.37015) Full Text: DOI arXiv
Huang, Wen; Lian, Zhengxing; Shao, Song; Ye, Xiangdong Sequences from zero entropy noncommutative toral automorphisms and Sarnak conjecture. (English) Zbl 1373.46063 J. Differ. Equations 263, No. 1, 779-810 (2017). MSC: 46L55 11K31 46L87 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Differ. Equations 263, No. 1, 779--810 (2017; Zbl 1373.46063) Full Text: DOI arXiv
Huang, Wen; Li, Jian; Ye, Xiangdong; Zhou, Xiaoyao Positive topological entropy and \(\Delta\)-weakly mixing sets. (English) Zbl 1418.37017 Adv. Math. 306, 653-683 (2017). MSC: 37B05 37B40 37A35 37A25 PDFBibTeX XMLCite \textit{W. Huang} et al., Adv. Math. 306, 653--683 (2017; Zbl 1418.37017) Full Text: DOI arXiv
Huang, Wen; Shao, Song; Ye, Xiangdong Nil Bohr-sets and almost automorphy of higher order. (English) Zbl 1375.37029 Mem. Am. Math. Soc. 1143, vi, 90 p. (2016). MSC: 37B05 22E25 05B10 43A77 PDFBibTeX XMLCite \textit{W. Huang} et al., Nil Bohr-sets and almost automorphy of higher order. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1375.37029) Full Text: DOI arXiv
Li, Jian; Ye, Xiang Dong Recent development of chaos theory in topological dynamics. (English) Zbl 1335.54039 Acta Math. Sin., Engl. Ser. 32, No. 1, 83-114 (2016). MSC: 54H20 37B05 37B40 54-02 37-02 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. D. Ye}, Acta Math. Sin., Engl. Ser. 32, No. 1, 83--114 (2016; Zbl 1335.54039) Full Text: DOI arXiv
Huang, Wen; Ye, Xiangdong; Zhang, Guohua Lowering topological entropy over subsets revisited. (English) Zbl 1306.37015 Trans. Am. Math. Soc. 366, No. 8, 4423-4442 (2014). Reviewer: Jian Li (Shantou) MSC: 37B40 37A35 37B10 37A05 PDFBibTeX XMLCite \textit{W. Huang} et al., Trans. Am. Math. Soc. 366, No. 8, 4423--4442 (2014; Zbl 1306.37015) Full Text: DOI arXiv
Tu, Siming; Ye, Xiangdong Dynamical parallelepipeds in minimal systems. (English) Zbl 1278.37016 J. Dyn. Differ. Equations 25, No. 3, 765-776 (2013). MSC: 37B05 37A99 PDFBibTeX XMLCite \textit{S. Tu} and \textit{X. Ye}, J. Dyn. Differ. Equations 25, No. 3, 765--776 (2013; Zbl 1278.37016) Full Text: DOI
Dong, Pandeng; Shao, Song; Ye, Xiangdong Product recurrent properties, disjointness and weak disjointness. (English) Zbl 1257.37017 Isr. J. Math. 188, 463-507 (2012). MSC: 37B20 37B40 PDFBibTeX XMLCite \textit{P. Dong} et al., Isr. J. Math. 188, 463--507 (2012; Zbl 1257.37017) Full Text: DOI arXiv
Shao, Song; Ye, Xiangdong Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence. (English) Zbl 1286.37010 Adv. Math. 231, No. 3-4, 1786-1817 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 37B05 37A99 PDFBibTeX XMLCite \textit{S. Shao} and \textit{X. Ye}, Adv. Math. 231, No. 3--4, 1786--1817 (2012; Zbl 1286.37010) Full Text: DOI arXiv
Huang, Wen; Ye, Xiangdong; Zhang, Guohua Local entropy theory for a countable discrete amenable group action. (English) Zbl 1235.37008 J. Funct. Anal. 261, No. 4, 1028-1082 (2011). Reviewer: Mike Hurley (Cleveland) MSC: 37A35 28D20 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Funct. Anal. 261, No. 4, 1028--1082 (2011; Zbl 1235.37008) Full Text: DOI arXiv
Akin, E.; Glasner, E.; Huang, W.; Shao, S.; Ye, X. Sufficient conditions under which a transitive system is chaotic. (English) Zbl 1211.37001 Ergodic Theory Dyn. Syst. 30, No. 5, 1277-1310 (2010). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37-02 37B20 37D45 PDFBibTeX XMLCite \textit{E. Akin} et al., Ergodic Theory Dyn. Syst. 30, No. 5, 1277--1310 (2010; Zbl 1211.37001) Full Text: DOI arXiv
Huang, Wen; Ye, Xiangdong; Zhang, Guohua Lowering topological entropy over subsets. (English) Zbl 1185.37026 Ergodic Theory Dyn. Syst. 30, No. 1, 181-209 (2010). MSC: 37B40 PDFBibTeX XMLCite \textit{W. Huang} et al., Ergodic Theory Dyn. Syst. 30, No. 1, 181--209 (2010; Zbl 1185.37026) Full Text: DOI arXiv
Glasner, Eli; Ye, Xiangdong Local entropy theory. (English) Zbl 1160.37309 Ergodic Theory Dyn. Syst. 29, No. 2, 321-356 (2009). MSC: 37A35 37B40 37D45 PDFBibTeX XMLCite \textit{E. Glasner} and \textit{X. Ye}, Ergodic Theory Dyn. Syst. 29, No. 2, 321--356 (2009; Zbl 1160.37309) Full Text: DOI
Huang, Wen; Ye, Xiangdong Dynamical systems disjoint from any minimal system. (English) Zbl 1072.37011 Trans. Am. Math. Soc. 357, No. 2, 669-694 (2005). Reviewer: Manfred Denker (Göttingen) MSC: 37B05 54H20 37B20 37A25 PDFBibTeX XMLCite \textit{W. Huang} and \textit{X. Ye}, Trans. Am. Math. Soc. 357, No. 2, 669--694 (2005; Zbl 1072.37011) Full Text: DOI
Shao, Song; Ye, Xiangdong \(\mathcal F\)-mixing and weak disjointness. (English) Zbl 1033.37006 Topology Appl. 135, No. 1-3, 231-247 (2004). MSC: 37B10 54H20 37B05 37A25 PDFBibTeX XMLCite \textit{S. Shao} and \textit{X. Ye}, Topology Appl. 135, No. 1--3, 231--247 (2004; Zbl 1033.37006) Full Text: DOI
Huang, Wen; Ye, Xiangdong Devaney’s chaos or 2-scattering implies Li-Yorke’s chaos. (English) Zbl 0997.54061 Topology Appl. 117, No. 3, 259-272 (2002). Reviewer: Andrzej Pelczar (Kraków) MSC: 54H20 37B10 35B05 PDFBibTeX XMLCite \textit{W. Huang} and \textit{X. Ye}, Topology Appl. 117, No. 3, 259--272 (2002; Zbl 0997.54061) Full Text: DOI