On pinching deformations of rational maps

DOI10.1016/S0012-9593(02)01092-3zbMath1041.37022OpenAlexW2165696603MaRDI QIDQ3146965

Lei Tan

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

zbMATH Keywords

Julia setrational maptopological deformation

Mathematics Subject Classification ID

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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)

This page was built for publication: On pinching deformations of rational maps