Compositional roots of H\'enon maps
Dynamical Systems
2016-09-06 v1 Complex Variables
Abstract
Let denote a composition of complex H\'enon maps in {\bf C}. In this paper we show that the only possible compositional roots of are also compositions of H\'enon maps, and that can have compositional roots of only finitely many distinct orders.
Cite
@article{arxiv.math/9506212,
title = {Compositional roots of H\'enon maps},
author = {Gregery T. Buzzard and John Erik Fornaess},
journal= {arXiv preprint arXiv:math/9506212},
year = {2016}
}