3 citations · 3 across the 7 of their papers we have counts for
9 papers · 1 filter
Similarity at Misiurewicz Maps in the Cubic Parameter Curves
Araceli Bonifant, Brady Young
We present a proof of the conjecture by Bonifant and Milnor (see arXiv:2503.08868) regarding the similarity between the connectedness locus of the curve at Misiurew…
Cubic Polynomial Maps with Periodic Critical Orbit, Part III: Tessellations and Orbit Portraits
Araceli Bonifant, John Milnor
We study the parameter space for cubic polynomial maps with a marked critical point of period . We will outline a fairly complete theory as to how the dynamics…
Relations between Escape Regions in the Parameter Space of Cubic Polynomials
Araceli Bonifant, Chad Estabrooks, Thomas Sharland
We describe a topological relationship between slices of the parameter space of cubic maps. In the paper \cite{CP1}, Milnor defined the curves as the set of all cub…
The W. Thurston Algorithm for Real Quadratic Rational Maps
Araceli Bonifant, John Milnor, Scott Sutherland
A study of real quadratic maps with real critical points, emphasizing the effective construction of critically finite maps with specified combinatorics. We discuss the behavior of…
The W. Thurston Algorithm Applied to Real Polynomial Maps
Araceli Bonifant, John Milnor, Scott Sutherland
This note will describe an effective procedure for constructing critically finite real polynomial maps with specified combinatorics.
Antipode Preserving Cubic Maps: the Fjord Theorem
Araceli Bonifant, Xavier Buff, John Milnor
This note will study a family of cubic rational maps which carry antipodal points of the Riemann sphere to antipodal points. We focus particularly on the fjords, which are part of…