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