Bounded hyperbolic components of quadratic rational maps

Details Bounded hyperbolic components of quadratic rational maps Bounded hyperbolic components of quadratic rational maps

1997-09-15

arxiv.org/abs/math/9709225v1

Mathematics

Dynamical Systems

Scientific paper

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

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