English

Newhouse Laminations of polynomials on $\mathbb{C}^2$

Dynamical Systems 2020-01-22 v1 Complex Variables

Abstract

It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Indeed, these laminations, called Newhouse laminations, occur also in the holomorphic context. In the space of polynomials of C2\mathbb{C}^2, with bounded degree, there are Newhouse laminations.

Keywords

Cite

@article{arxiv.2001.07251,
  title  = {Newhouse Laminations of polynomials on $\mathbb{C}^2$},
  author = {Marco Martens and Liviana Palmisano and Zhuang Tao},
  journal= {arXiv preprint arXiv:2001.07251},
  year   = {2020}
}
R2 v1 2026-06-23T13:15:55.069Z