External arguments and invariant measures for the quadratic family
Gamaliel Blé - División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, AP. 24, Cunduacán Tabasco, 86690, Mexico (email)
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
on the set of external arguments of $W_0$.
Keywords: Complex dynamics, Mandelbrot set, Hubbard tree, absolutely continuous
Received: December 2002; Revised: May 2004; Published: June 2004.
2012 Impact Factor1.005