Unbounded components in parameter space of rational maps

DOI10.1090/S1088-4173-00-00044-8zbMath0948.37032MaRDI QIDQ4485786

Peter M. Makienko

Publication date: 18 June 2000

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

zbMATH Keywords

Julia setgeodesiccomplex dynamical systemsquasiconformal deformation

Mathematics Subject Classification ID

Related Items (9)

On geometrically finite degenerations II: convergence and divergence ⋮ 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 ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets ⋮ On pinching deformations of rational maps

Cites Work

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• Riemann's mapping theorem for variable metrics
• Parabolic elements in Kleinian groups
• Hyperbolic structures on 3-manifolds. I: Deformation of acylindrical manifolds
• On the dynamics of rational maps
• On the dynamics of polynomial-like mappings
• Comparison of hyperbolic and extremal lengths
• On the quasiconformal surgery of rational functions
• Periodic points of polynomials
• Fixed points of polynomial maps. Part II. Fixed point portraits

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