Convergence of pinching deformations and matings of geometrically finite polynomials

2004/01/01 by Peter Haïssinsky, Peter Haı̈ssinsky, Lei Tan · 3 citations
Mathematics · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Mathematics and Applications

paper · pdf · doi:10.4064/fm181-2-4

Abstract

We give a thorough study of Cui's control of distortion technique in the analysis of convergence of simple pinching deformations, and extend his result from geometrically finite rational maps to some subset of geometrically infinite maps. We then combin

Cited by

• Piecewise quasiconformal dynamical systems of the unit circle
• Quadratic matings and ray connections
• Univalent Baker domains and boundary of deformations

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