On pinching deformations of rational maps
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Publication:3146965
DOI10.1016/S0012-9593(02)01092-3zbMath1041.37022OpenAlexW2165696603MaRDI QIDQ3146965
Publication date: 18 September 2002
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2002_4_35_3_353_0
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (11)
On geometrically finite degenerations II: convergence and divergence ⋮ Spinning deformations of rational maps ⋮ Baker domains and non-convergent deformations ⋮ Bounded hyperbolic components of bicritical rational maps ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Questions about polynomial matings ⋮ Monodromy on the central hyperbolic component of polynomials with just two distinct critical points ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ On the non-monotonicity of entropy for a class of real quadratic rational maps
Cites Work
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- Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
- Pinching of polynomials.
- Combining rational maps and controlling obstructions
- No elliptic limits for quadratic maps
- Unbounded components in parameter space of rational maps
- Complex Dynamics and Renormalization (AM-135)
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