A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics

Details A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics

2006-09-01

arxiv.org/abs/math/0609045v2

Mathematics

Dynamical Systems

LaTeX, 39 pages, 1 figure

Scientific paper

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.

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