Infinitesimal perturbations of rational maps

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.

10 pages, no figures, third version. To appear in Nonlinearity

References in corpus (1)

• Remarks on Ruelle Operator and invariant line fields problem II

Cited by in corpus (7)

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• On the fractional susceptibility function of piecewise expanding maps
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• Remarks on the Dynamic of the Ruelle Operator and invariant differentials