494 citations · 806 across the 17 of their papers we have counts for
19 papers · 1 filter
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…
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…
Arithmetic of Unicritical Polynomial Maps
John Milnor
This note will study complex polynomial maps of degree with only one critical point.
Cubic Polynomial Maps with Periodic Critical Orbit, Part II: Escape Regions
Araceli Bonifant, Jan Kiwi, John Milnor
The parameter space for monic centered cubic polynomial maps with a marked critical point of period is a smooth affine algebraic curve whose genus increases rap…