Some Papers and Preprints

1. Polynomial decay of correlations for almost Anosov diffeomorphisms, submitted, (with Xu Zhang).
   [ pdf ]

2. Exponential mixing of torus extensions over expanding maps, submitted, (with Jianyu Chen).
   [ pdf ]

3. Some ergodic and rigidity properties of discrete Heisenberg group actions, submitted, (with Enhui Shi and Zhenqi Wang).
   [ pdf ]

4. Polynomial decay for non-uniformly expanding maps, submitted, (with Sandro Vaienti).
   [ pdf ]

5. Quasi-shadowing for partially hyperbolic diffeomorphisms, Ergodic Theory & Dynamical Systems, 35 (2015), 412--430, (with Yunhua Zhou and Yujun Zhu).
   [ pdf | dvi | ps ]

6. Polynomial loss of memory for maps of the interval with a neutral fixed point, Discrete and Continuous Dynamical Systems, 35 (2015), 793--806, (Romain Aimino, Matt Nicol, Andrew Torok and Sandro Vaienti).
   [ pdf ]

7. Pseudo-orbits, stationary measures and metastability, Dynamical Systems: An International Journal, 29 (2014), 322-336, (with Wael Bahsoun and Sandro Vaienti).
   [ pdf ]

8. Quasi-stability of partially hyperbolic diffeomorphisms, Transactions of the American Mathematical Society, 366 (2014), 3787-3804, (with Yujun Zhu).
   [ pdf | dvi | ps ]

9. A volume preserving flow with essential coexistence of zero and nonzero Lyapunov exponents, Ergodic Theory & Dynamical Systems, 33 (2013), 1748-1785, (with Jianyu Chen and Yakov Pesin).
   [ pdf | dvi | ps ]

10. The essential coexistence phenomenon in dynamics, Dynamical Systems: An International Journal, 28 (2013), 453-472 (with Jianyu Chen and Yakov Pesin).
    [ pdf ]

11. A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents, Communications in Mathematical Physics, 319 (2013), 331-378 (with Yakov Pesin and Anna Talitskaya).
    [ pdf | dvi | ps ]

12. Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure, Ergodic Theory & Dynamical Systems, 33 (2013), 831-850 (with Yongluo Cao and Yun Zhao).
    [ pdf | dvi | ps ]

13. Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus, Science China Mathematics , 53 (2010), 663-670, (with Yunping Jiang).
    [ pdf | dvi | ps]

14. The dimensions of non-conformal repeller and average, Transactions of the American Mathematical Society, 362 (2010), 727-751, (with Jungchao Ban and Yongluo Cao).
    [ pdf| dvi | ps]

15. Dimension theory of iterated function systems, Communications on Pure and Applied Mathematics, 62 (2009), 1435-1500, (with De-Jun Feng).
    [ pdf | dvi | ps ]

16. Absolutely continuous invariant measures for some non-uniformly expanding maps, Ergodic Theory & Dynamical Systems, 29 (2009), 1185-1215, (with Sandro Vaienti).
    [ pdf | dvi | ps ]

17. Infimum of the metric entropy of hyperbolic attractors with respect to the SRB measure, Discrete and Continuous Dynamical Systems, 22 (2008), 215-234, (with Miaohua Jiang and Yunping Jiang).
    [ pdf | dvi | ps ]

18. Equilibriums of some non-Holder potentials, Transactions of the American Mathematical Society, 360 (2008), 2153-2190.
    [ pdf | dvi | ps ]

19. Every compact manifold carries a hyperbolic Bernoulli flow, in Modern dynamical systems and applications, 347--358, Cambridge Univ. Press, Cambridge, 2004, (with Yakov Pesin and Anna Talitskaya).
    [ pdf | dvi | ps ]

20. Decay of correlations for piecewise smooth maps with indifferent fixed points, Ergodic Theory & Dynamical Systems, 24(2004), 495--524.
    [ pdf | dvi | ps ]

21. Ergodic components of volume preserving hyperbolic diffeomorphisms, in Complex Dynamics and Related Topics, 170-198, New Studies in Advanced Mathematics, Vol. 5, International Press, 2004.
    [ pdf | dvi | ps ]

22. Statistics of Poincare recurrences for area preserving maps with integrable and ergodic components, Chaos 14, 160 (2004), 160-171, (with A. Rampioni, L. Rossi, G. Turchetti, S. Vaienti).

23. An example of a smooth hyperbolic measure with countably many ergodic components, in Smooth Ergodic Theory and Its Applications (Seattle, 1999), 95-108, Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI, 2001, (with Dmitry Dolgopyat and Yakov Pesin).
    [ pdf | dvi | ps ]

24. Statistical properties of almost hyperbolic systems, in Smooth Ergodic Theory and Its Applications (Seattle, 1999), 367-384, Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI, 2001.
    [ pdf | dvi | ps ]

25. Conditions for the existence of SBR measures of ``almost Anosov'' diffeomorphisms, Transactions of the American Mathematical Society, 352(2000), 2331-2367.
    [ pdf | dvi | ps ]

26. Ergodic theory of almost hyperbolic systems, in Proceedings of the International Conference in Dynamical Systems in Honor of Professor Liao Shantao, 84-98, World Scientific, 1999.
    [ pdf | dvi | ps ]

27. Box dimension and topological pressure for some expanding maps, Communications in Mathematical Physics, 191(1998), 397-407.
    [ pdf | dvi | ps ]

28. Dimensions of invariant sets of expanding maps, Communications in Mathematical Physics, 176(1996), 307-320.
    [ pdf | dvi | ps ]

29. Nonexistence of SBR measures for some diffeomorphisms that are ``almost Anosov'', Ergodic Theory & Dynamical Systems, 15(1995), 67-76, (with L.-S. Young).
    [ pdf | dvi | ps ]

30. Some ergodic properties of commuting diffeomorphisms Ergodic Theory & Dynamical Systems, 13(1993), 73-100.
    [ pdf | dvi | ps ]

31. Locally maximal invariant sets of expanding maps, Acta Mathematica Sinica , 35(1992), 788-802.

32. Pesin's entropy formula for expanding maps, Advances in Math. (China), 19(1990), 338-349.