34 citations · 125 across the 47 of their papers we have counts for
4 papers · 1 filter
Complementary components to the cubic Principal Hyperbolic Domain
Alexander Blokh, Lex Oversteegen, Ross Ptacek +1
We study the closure of the cubic Principal Hyperbolic Domain and its intersection with the slice of the space of all cubic polynomials with fixed p…
On maps taking lines to plane curves
Vsevolod Petrushchenko, Vladlen Timorin
We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taki…
Combinatorial models for spaces of cubic polynomials
Alexander Blokh, Lex Oversteegen, Ross Ptacek +1
A model for the Mandelbrot set is due to Thurston and is stated in the language of geodesic laminations. The conjecture that the Mandelbrot set is actually homeomorphic to this mod…
Laminational models for some spaces of polynomials of any degree
Alexander Blokh, Lex Oversteegen, Ross Ptacek +1
The so-called "pinched disk" model of the Mandelbrot set is due to A.~Douady, J.~H.~Hubbard and W.~P.~Thurston. It can be described in the language of geodesic laminations. The com…