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Bounded hyperbolic components of quadratic rational maps

Published online by Cambridge University Press:  01 June 2000

ADAM LAWRENCE EPSTEIN
ADAM LAWRENCE EPSTEIN
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853-4201, USA (e-mail: adame@math.cornell.edu)
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Abstract

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Let $\mathcal{H}$ be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that $\mathcal{H}$ has compact closure in moduli space if and only if neither attractor is a fixed point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000 , pp. 727 - 748
Copyright
2000 Cambridge University Press