Adam Epstein.

Preprints.

Limits of degenerate parabolic quadratic rational maps (with X. Buff and J. Ecalle)    PDF

Integrality and rigidity for postcritically finite polynomials , Bull. London Math. Soc. 2011; doi: 10.1112/blms/bdr059    PDF

Böttcher coordinates (with X. Buff and S. Koch)    PDF

Transversality in Holomorphic Dynamics    PDF

Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality    PDF

On Thurston's pullback map  (with X. Buff, S. Koch and K. Pilgrim), in "Complex dynamics, families and friends", edited by D. Schleicher  561-583 (2009)    PDF

Bifurcation Measure and Postcritically Finite Rational Maps  (with X. Buff), in "Complex dynamics, families and friends", edited by D. Schleicher  491-512 (2009)    PDF

From Local to Global Analytic Conjugacies (with X. Buff), Erg. Th. and Dyn. Sys. (2007) 27/4, 1073-1094    PDF

Remarks on the period three cycles of quadratic rational maps  (with S. Berker, and K. Pilgrim), Nonlinearity 16 (2003), no. 1, 93--100.  

Symmetric rigidity for real polynomials with real critical points  Complex manifolds and hyperbolic geometry (Guanajuato, 2001), 107--114, Contemp. Math., 311, Amer. Math. Soc., Providence, RI, 2002.  

A Parabolic Pommerenke-Levin-Yoccoz Inequality  (with X. Buff), Fundamenta Mathematicae (2002), 172, 249-289   PDF

Schwarzian derivatives of topologically finite meromorphic functions  Ann. Acad. Sci. Fenn. Math. 27 (2002), no. 1, 215--220.  

Bounded hyperbolic components of quadratic rational maps  Ergodic Theory Dynam. Systems 20 (2000), no. 3, 727--748.  

Effectiveness of Teichmüller modular groups.   In the tradition of Ahlfors and Bers (Stony Brook, NY, 1998), 69--74, Contemp. Math., 256, Amer. Math. Soc., Providence, RI, 2000.  

Geography of the cubic connectedness locus: intertwining surgery  (with M. Yampolsky) Ann. Sci. École Norm. Sup. (4) 32 (1999), no. 2, 151--185.  

The set of maps $F_{a,b}\colon x\mapsto x+a+(b/2\pi)\sin(2\pi x)$ with any given rotation interval is contractible  (with L. Keen and C. Tresser), Comm. Math. Phys. 173 (1995), no. 2, 313--333.   

Towers of Finite Type Complex Analytic Maps (PhD Thesis)     PDF