A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics
Dynamical Systems
2024-01-01 v3
Abstract
We prove the a priori bounds for infinitely renormalizable quadratic polynomials for which we can find an infinite sequence of primitive renormalizations such that the ratios of the periods of successive renormalizations is bounded. This implies the local connectivity of the Mandelbrot set at the corresponding points.
Cite
@article{arxiv.math/0609045,
title = {A priori bounds for some infinitely renormalizable quadratics: I. Bounded primitive combinatorics},
author = {Jeremy Kahn},
journal= {arXiv preprint arXiv:math/0609045},
year = {2024}
}
Comments
LaTeX, 63 pages, 5 figures