Infinitesimal perturbations of rational maps
Dynamical Systems
2009-11-07 v3
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
Cite
@article{arxiv.math/0109172,
title = {Infinitesimal perturbations of rational maps},
author = {Artur Avila},
journal= {arXiv preprint arXiv:math/0109172},
year = {2009}
}
Comments
10 pages, no figures, third version. To appear in Nonlinearity