Intersection Stable des Ensembles de Julia Stably Intersecting Julia Sets of Polynomials


Newhouse [1] introduced the concept of thickness and used it to prove that Cantor sets in the line must intersect under certain conditions. The usual definitions of thickness do not generalize to higher dimensions, but in this paper we produce two polynomials such that any holomorphic functions which are sufficiently small C perturbations of these… (More)