External arguments and invariant measures for the quadratic family doi:10.3934/dcds.2004.11.241 Abstract Full Text (298.9K) Related Articles
Gamaliel Blé  División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, AP. 24, Cunduacán Tabasco, 86690, Mexico (email) Abstract:
There is a correspondence between the
boundary of the main hyperbolic component $W_0$ of the Mandelbrot
set $M$ and $M \cap \mathbb R$ . It is induced by the map
$T(\theta)=1/2+\theta/4$ defined
on the set of external arguments of $W_0$.
Keywords: Complex dynamics, Mandelbrot set, Hubbard tree, absolutely continuous
invariant measure.
Received: December 2002; Revised: May 2004; Published: June 2004. 
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