activity
20062025
most citedThe W. Thurston Algorithm for Real Quadratic Rational Maps

3 citations · 3 across the 7 of their papers we have counts for

collaborators

11 papers

math.DS2025

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…

math.DS2025

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…

math.DS2022

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…

math.DS2020★ 3 cited

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…

math.DS2020

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.

math.AG2018

Group Actions, Divisors, and Plane Curves

Araceli Bonifant, John Milnor

After a general discussion of group actions, orbifolds, and "weak orbifolds" this note will provide elementary introductions to two basic moduli spaces over the real or complex num…