Infinitesimal perturbations of rational maps

Preprint

25 September 2001

preprint
Published by arXiv in arXiv

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.

Keywords

INFINITESIMAL PERTURBATIONS
INFINITESIMAL EFFECT
CRITICAL POINTS
RATIONAL MAPS
PERTURBATIONS
NEIGHBORHOOD
HOLOMORPHIC
JULIA SET

All Related Versions

Version 1, 2001-09-23, ArXiv
Version 2, 2001-09-25, ArXiv
Version 3, 2002-02-16, ArXiv
Published version: Nonlinearity, 15 (3), 695.

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