Alexander Blokh, Lex Oversteegen, Ross Ptacek, Vladlen Timorin
Published 2013-05-24, updated 2015-03-01Version 2
According to a recent paper \cite{bopt13}, polynomials from the closure $\overline{\rm PHD}_3$ 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 $\mathrm{CU}$.
Comments: 48 pages, 4 figures (in the new version a few typos have been corrected and a few proofs have been expanded). arXiv admin note: text overlap with arXiv:1106.5022
A model of the cubic connectedness locus
Models for spaces of dendritic polynomials
A model of the cubic connectedness locus
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