Infinitesimal perturbations of rational maps

Details Infinitesimal perturbations of rational maps Infinitesimal perturbations of rational maps

2001-09-23

arxiv.org/abs/math/0109172v3

Mathematics

Dynamical Systems

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

Scientific paper

10.1088/0951-7715/15/3/310

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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