Hyperbolic components of the complex exponential family
Volume 174 / 2002
Fundamenta Mathematicae 174 (2002), 193-215
MSC: Primary 37F10, 30D20.
DOI: 10.4064/fm174-3-1
Abstract
We describe the structure of the hyperbolic components of the parameter plane of the complex exponential family, as started in [1]. More precisely, we label each component with a parameter plane kneading sequence}, and we prove the existence of a hyperbolic component for any given such sequence. We also compare these sequences with the more commonly used dynamical kneading sequences.