Some Papers and Preprints

1. A volume preserving diffeomorphism with ``essential'' coexistence of zero and nonzero Lyapunov exponents, Submitted,(with Ya. Pesin and A. Talitskaya).
   [ pdf | dvi | ps ]

2. Quasisymmetric property for conjugacies betweenAnosov diffeomorphisms of the two-torus,Science China Mathematics , 53 (2010), 663-670,(with Yunping Jiang).

3. 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]

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

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

6. Infimum of the Metric Entropy of Hyperbolic Attractors with respect to the SRB Measure,Discrete and Continuous Dynamical Systems, 22 (2008), 215-234, (with M. Jiang and Y. Jiang).
   [ pdf | dvi | ps ]

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

8. A hyperbolic diffeomorphism with countably many ergodiccomponents near identity, submitted,(with A. Talitskaya).
   [ pdf | dvi | ps ]

9. Equilibrium states with polynomial decay of correlations, preprint,2000.
   [ pdf | dvi | ps ]

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

11. 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 ]

12. Statistics of Poincar\'e 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).

13. 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 D. Dolgopyat and Ya. Pesin).
    [ pdf | dvi | ps ]

14. 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 ]

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

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

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

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

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

20. 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 ]

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

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

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