Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2
Dynamical Systems
2018-06-29 v1
Abstract
We prove that for a polynomial diffeomorphism of C^2, uniform hyperbolicity on the set of saddle periodic points implies that saddle points are dense in the Julia set. In particular f satisfies Smale's Axiom A on C^2 .
Cite
@article{arxiv.1806.10917,
title = {Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:1806.10917},
year = {2018}
}