Adam Epstein.

Preprints.

This is a list of some of my preprints.

Please, e-mail me if you have any problem getting them.

** Twisted Matings and Equipotential Gluings ** (with X. Buff and S. Koch), to appear in Annales de la faculté des sciences de Toulouse.
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** Questions about polynomial matings** (with X. Buff, S. Koch, D. Meyer, K. Pilgrim, M. Rees and Tan L.), to appear in Annales de la faculté des sciences de Toulouse.
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** A classification of bicritical rational maps with a pair of period two superattracting cycles** (with T. Sharland), to appear in Annales de la faculté des sciences de Toulouse.
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** Limits of degenerate parabolic quadratic rational maps ** (with X. Buff and J. Ecalle), to appear in Geometric and Functional Analysis.
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** Integrality and rigidity for postcritically finite polynomials**, Bull. London Math. Soc. ** 44 ** (2012), 39-46.
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** Böttcher coordinates**, (with X. Buff and S. Koch), to appear in the Indiana University Mathematics Journal.
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** Transversality in Holomorphic Dynamics**
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** Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality**
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** On Thurston's pullback map ** (with X. Buff, S. Koch and K. Pilgrim), in "Complex dynamics, families and friends", edited by D. Schleicher (2009), 561-583.
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** Bifurcation Measure and Postcritically Finite Rational Maps ** (with X. Buff), in "Complex dynamics, families and friends", edited by D. Schleicher (2009), 491-512.
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** From Local to Global Analytic
Conjugacies** (with X. Buff), Erg. Th. and Dyn. Sys. (2007) **27/4**,
1073-1094
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**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
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**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) **
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