Multiple equivalent matings with the aeroplane polynomial

Abstract

We produce arbitrarily large equivalence classes of matings with the aeroplane polynomial. These are obtained by a slight generalisation of the technique of proof of a similar result for Wittner captures.

20 pages, 7 figures. A dedication has been added to the memory of Adrien Douady. Some corrections have been made, mainly to later lemmas. One figure has been added. The paper has been accepted for publication in ``Ergodic Theory and Dynamical Systems''