A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups

DOI10.1090/S1088-4173-00-00056-4zbMath1027.37025MaRDI QIDQ4485792

Shaun R. Bullett

Publication date: 18 June 2000

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

zbMATH Keywords

holomorphic dynamics

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (7)

Hecke Groups, Polynomial Maps and Matings ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ A holomorphic correspondence at the boundary of the Klein combination locus ⋮ Correspondences in Complex Dynamics ⋮ The dynamics of holomorphic correspondences of : invariant measures and the normality set ⋮ Mating quadratic maps with the modular group II ⋮ A continuity result on quadratic matings with respect to parameters of odd denominator rationals

Cites Work

• Unnamed Item
• Mating quadratic maps with the modular group
• Regular and limit sets for holomorphic correspondences
• On the dynamics of polynomial-like mappings
• On Klein's Combination Theorem. IV
• Perturbing circle-packing Kleinian groups as correspondences
• Mating quadratic maps with Kleinian groups via quasiconformal surgery
• A Gallery of Iterated Correspondences
• On Klein's Combination Theorem
• On Klein's Combination Theorem. II

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