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Newhouse Laminations of polynomials on ℂ2
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-08-03 , DOI: 10.1142/s0129167x20500913
Marco Martens 1 , Liviana Palmisano 2 , Zhuang Tao 1
Affiliation  

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 [Formula: see text], with bounded degree, there are Newhouse laminations.

中文翻译:

ℂ2 上多项式的纽豪斯叠层

最近发现,在具有一级同宿相切的映射的平滑展开中,存在具有无限多个汇的映射的两个叠层。事实上,这些被称为纽豪斯叠层的叠层也出现在全纯环境中。在[公式:见正文]的多项式空间中,有界度,有纽豪斯叠层。
更新日期:2020-08-03
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