Publications available as PDF files
Dynamics of Tangent (with Robert Devaney) in
Proc. Maryland Special Year in Dynamics, Springer 1342, (1987) .
Dynamics of Meromorphic Functions: Functions with Polynomial Schwarzian Derivative (with Robert Devaney)
A. Ecole Normale Superieure , 4 serie, t. 22, 55-79 (1989) .
The Mapping Class Group of a Generic Quadratic Rational Map and Automorphisms of the 2-Shift, (with Lisa Goldberg)
Invent. Math. , 101, 335-372 (1990) .
The Set of Maps $F_{a,b} : x \mapsto x+a+ (b/2\pi) \sin(2 \pi x)$ with any Given Rotation Interval is Contractible (with Adam Epstein and Charles Tresser)
Communications in Mathematical Physics, 17, 313-333 (1995) .
How to Bend Punctured Tori (with
Caroline Series) in
Lipa's Legacy,
Ergodicity of some classes of meromorphic functions (with Janina
Kotus)
Ann.
Acad. Sci. Fenn. Math. 24
(1999), no. 1, 133--145.
Dynamics of the family lambda tan z (with Janina
Kotus)
Conf. Geom. and
Dynamics AMS. Math. 28--57,
(1997)
Conformal Dynamical Systems and Lipman Bers (with Frederick Gardiner) in
Lipman Bers, selected works parts I and II Ed.
I. Kra, B. Maskit, AMS 1999
Coverings of Cantor Sets (with Frederick Gardiner) in
In the tradition of Ahlfors
and Bers (Stony Brook, NY, 1998),
Contemp. Math., 256, 115--130, Amer.
Math. Soc.,
Word
Sequences and Intersection Numbers (with Jane Gilman) in
Complex manifolds and hyperbolic geometry (Guanajuato, 2001),
Contemp. Math., 311, 231--249, Amer. Math. Soc., Providence, RI, 2002
Complex
Dynamics and Symbolic Dynamics (with Paul Blanchard and Robert Devaney)
Symposia in
Appl. Math, 60, AMS 2002
On Period
Doubling and Sharkovskii type ordering for the family
lambda tan z (with Janina
Kotus) in
Value
distribution theory and complex dynamics (
Contemp. Math., 303,51--78,
Amer. Math. Soc.,
Complex and
Real Dynamics for the family lambda tan z in
Proceedings of the Conference on
Complex Dynamics,
RIMS Kyoto Univ. Oct. 2001, Publ. No 1269 (2002), 93--102
Forward iterated function systems (with Nikola
Lakic) in
Complex
Dynamics and Related Topics,
New
Studies in Advanced Mathematics, IP Vol 5,
2003.
Pleating invariants for quasifuchsian
punctured torus groups, (with Caroline Series)
Topology, vol
43, no 2, 447-491, 2004
The Geometry
of Two Generator Groups: Hyperelliptic Handlebodies, (with J. Gilman)
GeometriaDedicata, 110 (2005)
159--190.
Random holomorphic iterations and degenerate subdomains
of the unit disk, (with Nikola Lakic)
Proc.
AMS. 134, no. 2, (2006) 371--378
Parabolic
Perturbation of the family lambda tan z (with Shenglan
Yuan), in
Complex Dynamics 25 years
after the appearance of The Mandelbrot Set, Eds. R. Devaney, L. Keen,
Contemp. Math., 396, 115--128, Amer. Math. Soc., Providence, RI, 2006.
Accumulation points of iterated function systems with Bloch
target domains (with Nikola Lakic),
Acad.
Sci. Fenn. Vol. 32, Fasc. 1, 73?82, 2007
Accumulation points of iterated function
systems (with Nikola Lakic)
in
Complex Dynamics 25 years
after the appearance of The Mandelbrot Set, Eds. R. Devaney, L. Keen,
Contemp. Math., 396, 101--113, Amer. Math. Soc.,
Planar
families of discrete groups (with Jane Gilman) in
The geometry of Riemann surfaces and abelian varieties,
Contemp. Math., 397, 79--88, Amer. Math. Soc.,
A
generalized hyperbolic metric for plane domains (with N. Lakic), in
In the Tradition of Ahlfors-Bers IV,
Contemp. Math. 432, 107--118, Amer. Math. Soc. 2007
Limit Points of Iterated Function
Systems (with N.
Lakic), in
Lecture Notes of the Ramanujan Math. Soc. 451-463, Eds. Biswas, Kulkarni and Mitra, 2010.
Discreteness Criteria and the Hyperbolic Geometry of Palindromes
(with Jane Gilman),
Conf. Geom. and Dynamics , 13 (2009), 76-90.
Cutting Sequences and Palindromes
(with Jane Gilman) in
Geometry of Riemann Surfaces
London Mathematical Society Lecture Note Series (No. 368), 194-216, (2010).
Boundaries of Bounded Fatou Components of Quadratic Maps (with Ross Flek),
J. Difference Eqns and Applications, Vol.16, Issues 5-6, p. 555-572 (2010).
Enumerating Palindromes and Primitives in Rank Two Free Groups
(with Jane Gilman)
Journal of Algebra 332 (2011), pp. 1-13
Lifting free subgroups of PSL(2,R) to free groups. (with J. Gilman) in
Quasiconformal mappings, Riemann surfaces, and Teichmuller spaces,
Contemp. Math., 575, 109-- 122, Amer. Math. Soc., Providence, RI, (2012).
Appendix to: A framework towards understanding the characterization of holomorphic maps. (with T. Chen and Y. Jiang) in
Frontiers in Complex Dynamics,
Princeton Math. Ser., 51, Princeton Univ. Press, Princeton, NJ, 2014
Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values. (with T. Chen and Y. Jiang) in
Proceedings of the Sixth International Congress of Chinese Mathematicians, 2014
Lipman Bers: A Retrospective (with F. Gardiner) in
Lipman Bers, a Life in Mathematics , Eds. L. Keen, I. Kra, R. Rodriguez
American Math. Society, 2015
Bounded geometry and characterization of some transcendental maps. (with T. Chen and Y, Jiang) in
Indiana Univ. Math. J. 66 (2017), no. 5, 1537–1571. ArXiv:112.2557
Winding and Unwinding and Essential Intersections in H^3. (with J. Gilman) in
Proceedings of the Ahlfors-Bers Colloquium, 2015
Contemp. Math., Amer. Math. Soc., Providence, RI, (2017).
Stable components in the parameter plane of transcendental functions of finite type (with N. Fagella) in
Journal of Geometric Analysis,(2020) ArXiv:1708.01808
Cycle doubling, merging, and renormalization in the tangent family. (with T. Chen and Y. Jiang) in
Conform. Geom. Dyn. 22 (2018), 271–314.
ArXiv:1708.01808
Slices of parameter spaces of generalized Nevanlinna functions. (with T. Chen) in
Discrete Contin. Dyn. Syst. 39 (2019), no. 10, 5659–5681.
ArXiv: 1805.10974
Accessible boundary points in the shift locus of a family of meromorphic functions with two asymptotic values, (with T. Chen and Y. Jiang) in
Arnold Math. J. (2020)
ArXiv: 2001.11454