Mating Kleinian groups isomorphic to 𝐶₂∗𝐶₅ with quadratic polynomials

DOI10.1090/S1088-4173-03-00087-0zbMath1075.37519MaRDI QIDQ4827388

Marianne Freiberger

Publication date: 16 November 2004

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kleinian groupsrational mapsquasi-conformal surgeryholomorphic correspondence

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Cites Work

• Mating quadratic maps with the modular group
• Regular and limit sets for holomorphic correspondences
• Conformal measures and matings between Kleinian groups and quadratic polynomials
• On the dynamics of polynomial-like mappings
• Mating quadratic maps with Kleinian groups via quasiconformal surgery
• Holomorphic correspondences mating Chebyshev-like maps with Hecke groups
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