Julia sets for polynomial diffeomorphisms of ${\Bbb C}^2$ are not semianalytic
Dynamical Systems
2017-05-02 v2
Abstract
For any polynomial diffeomorphism of with positive entropy, neither the Julia set of nor of its inverse is semi-analytic.
Cite
@article{arxiv.1703.04168,
title = {Julia sets for polynomial diffeomorphisms of ${\Bbb C}^2$ are not semianalytic},
author = {Eric Bedford and Kyounghee Kim},
journal= {arXiv preprint arXiv:1703.04168},
year = {2017}
}