Submitted by math_admin on Thu, 03/05/2020 - 13:11
preprint-id:
preprint-title:
A priori bounds for some infinitely renormalizable quadratics: III.Molecules
preprint-abstract:
In this paper we prove a priori bounds for infinitely renormalizable quadratic polynomials satisfying a "molecule condition". Roughly speaking, this condition ensures that the renormalization combinatorics stay away from the satellite types. These a priori bounds imply local connectivity of the corresponding Julia sets and the Mandelbrot set at the corresponding parameter values.
preprint-year:
2007