Summability Condition and Rigidity for Finite Type Maps
Dynamical Systems
2017-05-23 v2 Complex Variables
Abstract
We extend a series of results due to Makienko, Dominguez and Sienra on the rigidity of some holomorphic dynamical systems with summable critical values to the setting of finite type maps. We also recover a shorter proof of a transversality theorem of Levin. Our methods are based on the deformation theory introduced by Epstein.
Cite
@article{arxiv.1602.05172,
title = {Summability Condition and Rigidity for Finite Type Maps},
author = {Matthieu Astorg},
journal= {arXiv preprint arXiv:1602.05172},
year = {2017}
}