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Semiconjugacies between the Julia sets of geometrically finite rational maps
Published online by Cambridge University Press: 01 August 2003
Abstract
A rational map f is called geometrically finite if every critical point contained in its Julia set is eventually periodic. If a perturbation of f into another geometrically finite rational map is horocyclic and preserves the critical orbit relations with respect to the Julia set of f, then we can construct a semiconjugacy or a topological conjugacy between their dynamics on the Julia sets.
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- Research Article
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- 2003 Cambridge University Press
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