A Complete List:
Ø
Research Monograph and Proceedings Edited
1. Renormalization
and Geometry in One-Dimensional and Complex Dynamics. The
Advanced Series in Nonlinear Dynamics, 10, World Scientific Publishing Co. Inc., River Edge,
NJ, 1996. xvi+309 pp. ISBN: 981-02-2326-9.
2. Proceedings
of the International Conference in Honor of Professor Liao Shantao
(with L. Wen). World Scientific Publishing Co. Inc.,
3. Complex Dynamics and Related Topics (with Y. Wang). New
Studies in Advanced Mathematics, the International Press,
4. Nanjing
Lecture Notes In Dynamical Systems, Part One: Transfer Operators in Thermodynamical Formalism. ETH-Zurich FIM Preprint, 2000.
Ø Recent Preprints
1. Function model of the Teichmüller space of a closed hyperbolic Riemann surface. Preprint, 2008.
2.
Teichmüller
structures and dual geometric Gibbs type measure theory for continuous
potentials. Preprint, 2008.
Ø Journal Articles
§ 2006-2010
1.
Asymptotically
affine and asymptotically conformal circle endomorphisms
(with Frederick Gardiner).
To appear in Lecture Notes, RIMS, Kokyuroku Bessatsu, 2009,
Kyoto, Japan.
2. Holomorphic motions and related topics (with Frederick Gardiner and Zhe Wang). To appear in Proceedings of the Conference on Geometry of Riemann Surfaces at Anogia, Crete, July, 2007, London Math Society Lecture Notes series.
3. Function
models for Teichmuller spaces and dual geometric
Gibbs type measure theory for circle dynamics. To appear in Proceedings of International Workshop on Teichmüller Theory and Moduli
Problems, HRI, Allahabad, India (2006), Ramanujan
Math. Soc. Lecture Notes Series in Mathematics.
4.
Kobayashi's
and Teichmüller's metrics on the Teichmüller
space of symmetric circle homeomorphisms (with Jun Hu
and Zhe Wang). To appear
in Acta Mathematica Sinica, Vol. 26 (9),
2010.
5. Liftings of holomorphic maps into Teichmüller spaces (with Sudeb Mitra and Zhe Wang). Kodai Mathematical Journal, 32 (2009), No. 3, 544-560.
6.
Ruelle operator theorem for nonexpansive
systems (with Yuan-Ling Ye). Ergodic Theory and
Dynamical Systems, 2009. (doi:10.1017/S014338570900025X) .
7.
Holomorphic
motions, Fatou linearization, and quasiconformal rigidity for parabolic germs. The Michigan Mathematical Journal, 58 (2009),
Issue 2, 517-534.
8.
Combinatorial
characterization of sub-hyperbolic rational maps (with Gaofei
Zhang). Advances in
Mathematics,
221 (2009), 1990–2018.
9.
On a
question of Katok in one-dimensional case. Discrete and Continuous Dynamical System, Volume 24, Number 4, August 2009, 1209–1213.
10.
Asymptotically
conformal fixed points and holomorphic motions. Annales
Academiæ Scientiarum Fennicæ Mathematica, Volumen 34, 2009, 27–46.
11.
Infimum of the metric entropy of hyperbolic attractors with
respect to the SRB measure (with Huyi Hu
and Miaohua Jiang). Discrete and Continuous Dynamical Systems, Vol. 22, No. 1&2 (2008), 215–234.
12.
Holomorphic motions and
normal forms in complex analysis. Studies
in Advanced Mathematics, ICCM2004@2008, AMS/IP, Vol. 42, Part 2 (2008), 457-466.
13.
Distance
entropy of dynamical systems on noncompact phase
spaces (with Xiongping Dai). Discrete and Continuous Dynamical Systems,
Vol. 20, No. 2 (2008),
313-333.
14.
The Thurston type theorem for branched
coverings of two-sphere. Proceedings
of the 4th Internatioanl Congress of Chinese Mathematicans, Higher Education Press,
Vol. I (2007), 695–711.
15.
Some
applications of universal holomorphic motions (with Sudeb Mitra). Kodai Mathematics Journal, Vol. 30, No. 1 (2007),
85–96.
16.
Asymptotically conformal fixed points and
holomorphic motions. Complex Analysis
and Applications, Proceedings of
the 13th international conference on finite or infinite dimensional complex
analysis and applications, 2006, 109-129.
§ 2001-2005
17. On Ruelle-Perron-Frobenius Operators. II. Convergence Speeds (with A. Fan). Comm. in Math. Phys., 223 (2001), 143-159.
18. On
Ruelle-Perron-Frobenius Operators. I. Ruelle Theorem (with A. Fan). Comm. in Math. Phys., 223 (2001), 125-141.
19. Three dimensional partition and infinite
renormalization. Proceedings
of ICCM01.
20. Dynamical determinants via dynamical conjugacies for postcritically finite polynomials (with V. Baladi and H. Rugh). Journal of Statistical Physics, Vol. 108 (2002), Nos. 5/6, 973-993.
21. Scaling functions for degree two circle endomorphisms (with G. Cui and F. Gardiner). Contemporary Mathematics, AMS Series, Vol. 355 (2004), 147-163.
22. Local connectivity of the Mandelbrot set at certain infinitely renormalizable points. Complex Dynamics and Related Topics, New Studies in Advanced Mathematics, 2004, The International Press, 236-264.
23. On geometrically finite branched covering maps-I. Locally combinatorial attracting (with G. Cui and D. Sullivan). Complex Dynamics and Related Topics, New Studies in Advanced Mathematics, 2004, The International Press, 1-14.
24. On geometrically finite branched covering maps-II. Realization of rational maps (with G. Cui and D. Sullivan). Complex Dynamics and Related Topics, New Studies in Advanced Mathematics, 2004, The International Press, 15-29.
25. On geometrically finite branched covering maps-III. A direct proof of CJS Theorem (with G. Zhang). Complex Dynamics and Related Topics, New Studies in Advanced Mathematics, 2004, The International Press, 265-291.
26. Spectral theory of transfer operators (with A. Fan). Complex Dynamics and Related Topics, New Studies in Advanced Mathematics, 2004, The International Press, 63-128.
27. On conformal measures for infinitely renormalizable quadratic polynomials (with Z. Huang and Y. Wang). Science in China, Ser. A Mathematics, Vol. 48 (2005), no. 10， 1411-1420. (Chinese Version: 35(9) (2005)).
28. Hausdorff dimensions of zero-entropy sets of dynamical systems with positive entropy (with X. Dai). Journal of Statistical Physics, Vol. 120, NOS 3/4, August 2005, 511-519.
29. Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family (with A. Fan and J. Wu). Ergod. Th. & Dynam. Sys., 25 (2005), no. 6, 1799-1808.
30. Metric invariants in dynamical systems. Journal of Dynamics and Differential Equations, Vol. 17 (2005), no. 1, 51 – 71.
31. Differentiable rigidity and smooth conjugacy. Annales Academiæ Scientiarum Fennicæ Mathematica, Vol. 30 (2005), 361-383
32. Analyticity of the susceptibility function for unimodal Markovian maps of the interval (with D. Ruelle). Nonlinearity, 18 (2005), 2447-2453.
§ 1996-2000
33. Smooth classification of geometrically finite one-dimensional maps. Trans. Amer. Math. Soc., 348 (1996), no. 6, 2391- 2412.
34. Transfer operators acting on Zygmund functions (with V. Baladi and O. Lanford III). Trans. Amer. Math. Soc., 348 (1996), no. 4, 1599-1615.
35. On rigidity of one-dimensional maps. Contemporary Mathematics, AMS Series, 211 (1997), 319-431.
36. Nonlinearity, quasisymmetry, differentiability, rigidity in one-dimensional dynamics. Proceedings of the International Conference in Honor of Professor Liao Shantao,1999, 145-159.
37. The Julia set of Feigenbaum quadratic polynomial (with J. Hu). Proceedings of the International Conference in Honor of Professor Liao Shantao, 1999, 99-124.
38. Liapunov exponents, dual Liapunov exponents and multifractal analysis (with A. Fan). Chaos 9 (1999), no. 4, 849—853.
39. A proof of existence and simplicity of a maximal eigenvalue for Ruelle-Perron-Frobenius operators. Letters in Math. Phys. 48 (1999), no. 3, 211-219.
40. Scaling functions, Gibbs measures, and Teichmuller space of circle endomorphisms (with G. Cui and A. Quas). Discrete and Continuous Dynamical Systems, Vol. 5 (1999), no. 3, 535-552.
41. Geometry of Cantor sets. Trans. Amer. Math. Soc., 351 (1999), no. 5, 1975-1987.
42. Infinitely renormalizable quadratic polynomials. Trans. Amer. Math. Soc., 352(2000), no. 11, 5077-5091.
§ 1990-1995
43. Generalized Ulam-von
Neumann transformations. Ph.D. Thesis
(1990), Graduate School of CUNY and UMI
publication.
44. Expanding
direction of Period Doubling Operator (with T. Morita and D. Sullivan). Comm. in Math. Phys., 144 (1992), no. 3, 509-520.
45. Dynamics of certain non-conformal semigroups. (Full Version IMS Preprint 92-5) Complex Variables Theory Appl., 22 (1993), no. 1-2, 27-34.
46. Asymptotic differentiable structure on Cantor set. Comm. in Math. Phys., 155 (1993), no. 3, 503-509.
47. Geometry
of geometrically finite one-dimensional maps. Comm. in Math. Phys., 156 (1993),
no. 3, 639-647.
48. Towards topological classification of critically finite polynomials (with S. Hu). Proceedings of Conf. on Complex Analysis, 132-143, Internat. Press, 1994.
49. Renormalization on one-dimensional folding
maps. Dynamical Systems and Chaos,
Vol. 1 (1995), 116-125.
50. Markov partitions and Feigenbaum-like mappings. Comm. in Math. Phys., 171 (1995), no. 2, 351-363.
51. On Ulam-von Neumann transformations. Comm. in Math. Phys., 172 (1995), no. 3, 449-459.
§ 1983-1989
52.
Restricted problem of
motion of three vortices and related topics (with M. Qian).
Acta Mathematica Scientia, Vol.
3 (1983), no. 4, 441-453. (Chinese Article) .
53.
Density of non-continuity
points with infinite entropy (with J. Xu). Scientia Sinica (series
A), 28 (1985), no. 10,
1049-1058.