Regular and limit sets for holomorphic correspondences

DOI10.4064/fm167-2-2zbMath0984.37045OpenAlexW1965195469MaRDI QIDQ2717645

Christopher Penrose, Shaun R. Bullett

Publication date: 17 June 2001

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm167-2-2

zbMATH Keywords

limit setsholomorphic dynamicscorrespondencesregular sets

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (11)

Hecke Groups, Polynomial Maps and Matings ⋮ Mating Kleinian groups isomorphic to 𝐶₂∗𝐶₅ with quadratic polynomials ⋮ On Fatou-Julia decompositions ⋮ Dynamics of hyperbolic correspondences ⋮ On self-correspondences on curves ⋮ Equidistribution for matings of quadratic maps with the modular group ⋮ Deformations of the modular group as a quasifuchsian correspondence ⋮ Extending local analytic conjugacies ⋮ The dynamics of holomorphic correspondences of : invariant measures and the normality set ⋮ A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups ⋮ Mating quadratic maps with the modular group

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