ABSTRACT
The most prominent component of the interior of the Mandelbrot set M is the component bounded by the main cardioid. There are infinitely many secondary hyperbolic components of intM attached to it. In turn, infinitely many hyperbolic components are attached to each of the secondary components, etc. Let us take the union of all hyperbolic components of intM obtained this way, close it up and fill it in (i.e., add all bounded components of its complement1). We obtain the set called the molecule M of M ; see Figure 1.2 In this paper, we consider infinitely primitively renormalizable quadratic polynomials satisfying a molecule condition, which means that the combinatorics of the primitive renormalization operators involved stays away from the molecule (see Section 2.2 for the precise definition in purely combinatorial terms).
