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Infinitesimal perturbations of rational maps

Artur Avila
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Abstract

We analyze the infinitesimal effect of holomorphic perturbations of the dynamics of a structurally stable rational map on a neighborhood of its Julia set. This implies some restrictions on the behavior of critical points.

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Artur Avila. 2002-02-16. Infinitesimal perturbations of rational maps. https://doi.org/10.1088/0951-7715%2F15%2F3%2F310

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