Perturbations of rational Misiurewicz maps

2008/04/07 by Magnus Aspenberg, Aspenberg, Magnus · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.0804.1106

Abstract

In this paper we investigate the perturbation properties of rational Misiurewicz maps, when the Julia set is the whole sphere (the other case is treated in [1]). In particular, we show that if f is a Misiurewicz map and not a flexible Lattes map, then we can find a hyperbolic map arbitrarily close to f.

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