%0 Journal Article
%T No smooth Julia sets for polynomial diffeomorphisms of $\mathbb{C}^2$ with positive entropy
%A Eric Bedford
%A Kyounghee Kim
%J Mathematics
%D 2015
%I arXiv
%X For any polynomial diffeomorphism $f$ of $\mathbb{C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is $C^1$ smooth as a manifold-with-boundary.
%U http://arxiv.org/abs/1506.01456v2