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arXiv · 1305.5788

Laminations from the Main Cubioid

Alexander Blokh·Lex Oversteegen·Ross Ptacek·Vladlen Timorin
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Abstract

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 $\mathrm{CU}$.

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Alexander Blokh, Lex Oversteegen, Ross Ptacek, Vladlen Timorin. 2013-05-24. Laminations from the Main Cubioid. https://arxiv.org/abs/1305.5788

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