preprint-author: 
J. Kahn
preprint-title: 
A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics
preprint-abstract: 

We prove the a priori bounds for infinitely renormalizable quadratic polynomials of bounded primitive type. This implies the local connectivity of the Mandelbrot set at the corresponding points.

preprint-year: 
2006