Laminations from the main cubioid | Zendy

Alexander Blokh | Zendy; Lex Oversteegen | Zendy; Ross Ptacek | Zendy; Vladlen Timorin | Zendy

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Laminations from the main cubioid

Author(s) -

Alexander Blokh,

Lex Oversteegen,

Ross Ptacek,

Vladlen Timorin

Publication year - 2016

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2016003

Subject(s) - mathematics , social connectedness , invariant (physics) , pure mathematics , mathematical analysis , algebra over a field , mathematical physics , psychology , psychotherapist

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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