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math.DS2017
Perfect subspaces of quadratic laminations
Alexander Blokh, Lex Oversteegen, Vladlen Timorin
The combinatorial Mandelbrot set is a continuum in the plane, whose boundary can be defined, up to a homeomorphism, as the quotient space of the unit circle by an explicit equivale…
math.DS2017
Models for spaces of dendritic polynomials
Alexander Blokh, Lex Oversteegen, Ross Ptacek +1
Complex 1-variable polynomials with connected Julia sets and only repelling periodic points are called \emph{dendritic}. By results of Kiwi, any dendritic polynomial is semi-conjug…