English

A closing lemma for polynomial automorphisms of C^2

Dynamical Systems 2017-09-06 v1

Abstract

We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.

Keywords

Cite

@article{arxiv.1709.01378,
  title  = {A closing lemma for polynomial automorphisms of C^2},
  author = {Romain Dujardin},
  journal= {arXiv preprint arXiv:1709.01378},
  year   = {2017}
}