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arXiv · 2001.07251

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

Marco Martens·Liviana Palmisano·Zhuang Tao
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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 $\mathbb{C}^2$, with bounded degree, there are Newhouse laminations.

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Marco Martens, Liviana Palmisano, Zhuang Tao. 2020-01-20. Newhouse Laminations of polynomials on $\mathbb{C}^2$. https://arxiv.org/abs/2001.07251

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