Laminations from the Main Cubioid

Laminations from the Main Cubioid
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DOI:
10.3934/dcds.2016003
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发表时间:
2013
期刊:
arXiv: Dynamical Systems
影响因子:
--
通讯作者:
V. Timorin
V. Timorin
中科院分区:
--
文献类型:
--
作者:
A. Blokh;L. Oversteegen;R. Ptacek;V. Timorin

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根据最近的一篇论文 \cite{bopt13},三次连通轨迹的 {\em 主双曲域} ${\rm PHD}_3$ 的闭包 $\bar{\rm PHD}_3$ 的多项式具有一些特定的属性。具有这些性质的所有多项式的族 $\mathrm{CU}$ 称为 \emph{Main Cubioid}。在本文中,我们描述了叠层的集合 $\mathrm{CU}^c$,它可以与 $\mathrm{CU}$ 中的多项式相关联。
According to a recent paper \cite{bopt13}, polynomials from the closure $\bar{\rm PHD}_3$ of the {\em Principal Hyperbolic Domain} ${\rm PHD}_3$ of the cubic connectedness locus have a few specific properties. The family $\mathrm{CU}$ of all polynomials with these properties is called the \emph{Main Cubioid}. In this paper we describe the set $\mathrm{CU}^c$ of laminations which can be associated to polynomials from $\mathrm{CU}$.