A Complete List:
Ř Recent Preprints
1. Teichmüller structures and dual geometric Gibbs type measure
theory for continuous potentials. Preprint,
2008. Submitted.
2. Function
model of the Teichmüller space of a closed hyperbolic Riemann surface. Preprint, 2008. Submitted.
3. No invariant line fields on
escaping sets of the sine family (with Tao Chen and Gaofei
Zhang). Preprint, 2009. Submitted.
4. Extending
holomorphic motions and monodromy
(with Michael Beck, Sudeb Mitra,
and Hiroshige Shiga). Preprint,
2010. Submitted.
5. Canonical
Thurston obstructions for sub-hyperbolic semi-rational branched coverings
(with Tao Chen). Preprint,
2010. Preprint.
6. Martingales for quasisymmetric systems and complex manifold structures
(with Yunchun Hu and Zhe Wang). Preprint,
2010.
6. Journal Articles
§ 2010-2019
7. Ruelle operator theorem for nonexpansive
systems (with Yuan-Ling Ye). Ergodic Theory and
Dynamical Systems,
(2010), 30, 469–487 (doi:10.1017/S014338570900025X) .
8. Holomorphic motions and related topics (with Frederick
Gardiner and Zhe Wang). Geometry of Riemann Surfaces, London Mathematical Society Lecture Note Series, No. 368,
156-193.
9. Function models for Teichmuller
spaces and dual geometric Gibbs type measure theory for circle dynamics. Teichmueller Theory and Moduli Problem, RMS LECTURE NOTES SERIES, No. 10, 2010, 413-435.
10. Asymptotically affine and
asymptotically conformal circle endomorphisms (with
Frederick Gardiner). RIMS Kôkyűroku Bessatsu B17, Infinite
Dimensional Teichmuller Spaces and Moduli Spaces, Ed. Ege Fujikawa, June, 2010, 37-53.
11. Quasisymmetric
property for conjugacies between Anosov
diffeomorphisms of the two-torus (with Huyi Hu). Science China in Mathematics, Vol. 53 (2010), No. 3: 663–670.
12. Geometrically finite and
semi-rational branched coverings of the two-sphere (with Guizhen
Cui). Transactions of the American Mathematical Society, Article electronically
published on December 10, 2010.
13. Quasiconformal motions and isomorphisms
of continuous families of Mobius groups (with Sudeb Mitra and Hiroshige Shiga).
Accepted by Israel Journal of Mathematics, 2010.
14. Differential
rigidity and applications in one-dimensional dynamics. Proceedings of survey articles for Prof.
Rand birthday, Springer-Verlag, to appear.
15. Kobayashi's and Teichmuller's metrics on the Teichmuller
space of symmetric circle homeomorphisms (with Jun Hu
and Zhe Wang). Accepted by Acta Mathematica Sinica.
§ 2000-2009
16.
Infinitely renormalizable
quadratic polynomials. Trans. Amer.
Math. Soc., 352(2000), no. 11, 5077-5091.
17.
On
Ruelle-Perron-Frobenius Operators. I. Ruelle Theorem (with A. Fan). Comm. in Math. Phys., 223 (2001), 125-141.
18.
On
Ruelle-Perron-Frobenius Operators. II.
Convergence Speeds (with A. Fan). Comm. in Math. Phys., 223 (2001), 143-159.
19.
Three
dimensional partition and infinite renormalization.
Proceedings of ICCM2001, Eds. Chang-Shou
Lin, Lo Yang, Shing Tung Yau,
2004, 451-482.
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
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
Academić Scientiarum Fennicć 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.
33.
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.
34.
Some applications of
universal holomorphic motions (with Sudeb Mitra). Kodai Mathematics Journal, Vol. 30, No. 1 (2007),
85–96.
35.
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), 695–713.
36.
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.
37.
Holomorphic
motions and normal forms in complex analysis. Studies in Advanced Mathematics, ICCM2004@2008, AMS/IP, Vol. 42, Part 2 (2008), 457-466.
38.
Distance entropy of dynamical
systems on noncompact phase spaces (with Xiongping Dai). Discrete
and Continuous Dynamical Systems, Vol. 20, No. 2 (2008), 313-333.
39. Liftings
of holomorphic maps into Teichmüller spaces (with Sudeb Mitra and Zhe Wang). Kodai Mathematical Journal, 32 (2009), No. 3, 544-560.
40.
Holomorphic motions, Fatou
linearization, and quasiconformal rigidity for
parabolic germs. The Michigan
Mathematical Journal, 58 (2009), Issue 2, 517-534.
41.
Combinatorial characterization of
sub-hyperbolic rational maps (with Gaofei
Zhang). Advances in
Mathematics,
221 (2009), 1990–2018.
42.
On a
question of Katok in one-dimensional case. Discrete and Continuous Dynamical System, Volume 24, Number 4, August 2009, 1209–1213.
43.
Asymptotically
conformal fixed points and holomorphic motions. Annales Academić Scientiarum Fennicć Mathematica, Volumen 34, 2009, 27–46.
§ 1990-1999
44.
Generalized
Ulam-von Neumann transformations. Ph.D. Thesis (1990), Graduate School of
CUNY and UMI publication.
45.
Expanding direction of
Period Doubling Operator (with T. Morita and D. Sullivan). Comm. in Math. Phys., 144 (1992), no. 3, 509-520.
46. Dynamics of certain non-conformal semigroups. (Full Version IMS Preprint 92-5) Complex Variables Theory Appl., 22 (1993), no. 1-2, 27-34.
47. Asymptotic differentiable structure on Cantor set. Comm. in Math. Phys., 155 (1993), no. 3, 503-509.
48.
Geometry
of geometrically finite one-dimensional maps. Comm. in Math. Phys., 156 (1993),
no. 3, 639-647.
49. Towards topological classification of critically finite polynomials (with S. Hu). Proceedings of Conf. on Complex Analysis, 132-143, Internat. Press, 1994.
50.
Renormalization
on one-dimensional folding maps. (Preprint Version) Dynamical
Systems and Chaos, Vol. 1 (1995),
116-125.
51. Markov partitions and Feigenbaum-like mappings. Comm. in Math. Phys., 171 (1995), no. 2, 351-363.
52. On Ulam-von Neumann transformations. Comm. in Math. Phys., 172 (1995), no. 3, 449-459.
53. Smooth classification of geometrically finite one-dimensional maps. Trans. Amer. Math. Soc., 348 (1996), no. 6, 2391- 2412.
54. Transfer operators acting on Zygmund functions (with V. Baladi and O. Lanford III). Trans. Amer. Math. Soc., 348 (1996), no. 4, 1599-1615.
55. On rigidity of one-dimensional maps.
Contemporary Mathematics, AMS Series, 211 (1997), 319-431.
56.
Nonlinearity,
quasisymmetry, differentiability, rigidity in
one-dimensional dynamics. Proceedings
of the International Conference in Honor of Professor Liao Shantao,1999, 145-159.
57. The Julia set of Feigenbaum quadratic polynomial (with J. Hu). Proceedings of the International Conference in Honor of Professor Liao Shantao, 1999, 99-124.
58. Liapunov exponents, dual Liapunov exponents and multifractal analysis (with A. Fan). Chaos 9 (1999), no. 4, 849—853.
59. 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.
60.
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.
61. Geometry of Cantor sets. Trans. Amer. Math. Soc., 351 (1999), no. 5, 1975-1987.
a.
1980-1989
62.
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)
63.
Density of non-continuity
points with infinite entropy (with J. Xu). Scientia Sinica (series
A), 28 (1985), no. 10, 1049-1058.
Ř
Research Monograph and Proceedings Edited
·
Books
64. Renormalization and Geometry in
One-Dimensional and Complex Dynamics. Advanced
Series in Nonlinear Dynamics, Vol. 10 (1996) World Scientific Publishing Co. Pte.
Ltd., River Edge, NJ, xvi+309 pp. ISBN 981-02-2326-9.
65. Proceedings of the International
Conference in Honor of Professor Shantao Liao
(with W. Lan), World Scientific Pub Co, Singapore-New
Jersey-London-Hong Kong, 1999, 350 pp.
ISBN: 981024102X.
66. Complex Dynamics and Related Topics
(with Y. Wang). New Studies in Advanced Mathematics, the International Press,
Somerville, MA, 2004, 501 pp., ISBN:1-57146-121-3.
·
Lecture Notes
67. Nanjing Lecture Notes In Dynamical Systems. Part One: Transfer Operators in Thermodynamical Formalism. FIM Preprint Series, ETH-Zurich,
June 2000.
68. Dynamical Systems and Quasiconformal Mappings. Lecture Notes in the CUNY
Graduate Center, 2009.
