Topology of the regular part for infinitely renormalizable quadratic polynomials
Dynamical Systems
2007-06-29 v1 Geometric Topology
Abstract
In this paper we describe the well studied process of renormalization of quadratic polynomials from the point of view of their natural extensions. In particular, we describe the topology of the inverse limit of infinitely renormalizable quadratic polynomials and prove that when they satisfy a-priori bounds, the topology is rigid modulo its combinatorics.
Keywords
Cite
@article{arxiv.0706.4225,
title = {Topology of the regular part for infinitely renormalizable quadratic polynomials},
author = {Carlos Cabrera and Tomoki Kawahira},
journal= {arXiv preprint arXiv:0706.4225},
year = {2007}
}