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 , 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}
}