Rigidity of $C^2$ Infinitely Renormalizable Unimodal Maps
Dynamical Systems
2009-10-31 v1
Abstract
Given infinitely renormalizable unimodal maps and with a quadratic critical point and the same bounded combinatorial type, we prove that they are conjugate along the closure of the corresponding forward orbits of the critical points, for some .
Keywords
Cite
@article{arxiv.math/9905171,
title = {Rigidity of $C^2$ Infinitely Renormalizable Unimodal Maps},
author = {Wellington de Melo and Alberto Pinto},
journal= {arXiv preprint arXiv:math/9905171},
year = {2009}
}
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16 pages