Near parabolic renormalization for unicritical holomorphic maps
Dynamical Systems
2020-04-14 v3
Abstract
Inou and Shishikura provided a class of maps that is invariant by near-parabolic renormalization, and that has proved extremely useful in the study of the dynamics of quadratic polynomials. We provide here another construction, using more general arguments. This will allow to extend the range of applications to unicritical polynomials of all degrees.
Cite
@article{arxiv.1404.4735,
title = {Near parabolic renormalization for unicritical holomorphic maps},
author = {Arnaud Chéritat},
journal= {arXiv preprint arXiv:1404.4735},
year = {2020}
}
Comments
92 pages, 31 figures. This version (v3) is the one submitted to a journal