3 papers
math.DS2020
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.DS2017
On the Lebesgue measure of the Feigenbaum Julia set
Artem Dudko, Scott Sutherland
We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than~2 (and consequently it has zero Lebesgue measure). This solves a long-standing open questi…