English

Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2

Dynamical Systems 2012-02-29 v1

Abstract

Investigating the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on C^2, we characterize various properties concerning the three kinds of accumulation sets defined by DeMarco and Hruska in terms of the saddle basic sets. We also give a new example of higher degree.

Cite

@article{arxiv.1202.6099,
  title  = {Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2},
  author = {Shizuo Nakane},
  journal= {arXiv preprint arXiv:1202.6099},
  year   = {2012}
}

Comments

26 pages, 5 figures

R2 v1 2026-06-21T20:25:57.482Z