activity
19922020
most citedDynamics in one complex variable: introductory lectures

494 citations · 806 across the 17 of their papers we have counts for

collaborators

21 papers

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…

math.AG2016

On Real and Complex Cubic Curves

Araceli Bonifant, John Milnor

An expository description of smooth cubic curves in the real or complex projective plane.

math.DS2015

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…

math.DS2012

Hyperbolic Components

John Milnor, Alfredo Poirier

Consider polynomial maps $f:\C\to\C$ of degree , or more generally polynomial maps from a finite union of copies of $\C$ to itself. In the space of suitably normalized maps…