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Kernel convergence of hyperbolic components

Published online by Cambridge University Press:  12 April 2001

BERND KRAUSKOPF  and
HARTJE KRIETE
BERND KRAUSKOPF
Affiliation:
Theoretische Natuurkunde, Vrije Universiteit, 1081 HV Amsterdam, The Netherlands (e-mail: berndk@nat.vu.nl)
HARTJE KRIETE
Affiliation:
Mathematisches Institut, Georg–August Universität, 37073 Göttingen, Germany (e-mail: kriete@cfgauss.uni-math.gwdg.de)
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Abstract

We study families$G(\lambda,\cdot)$ of entire functions that are approximated by a sequence offamilies $G_n(\lambda,\cdot)$ of entire functions,where $\lambda\in\C$ is a parameter. In order to control the dynamics,the families are assumed to be of the same constant finite type.In this setting we provethe convergence of the hyperbolic components in parameter space as kernelsin the sense of Carathéodory.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 5 , October 1997 , pp. 1137 - 1146
Copyright
1997 Cambridge University Press

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