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Hyperbolic components of the complex exponential family

Robert L. Devaney, Nuria Fagella, Xavier Jarque (2002)

Fundamenta Mathematicae

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.

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