21 citations · 37 across the 7 of their papers we have counts for
7 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.
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…
Further travels with my ant
David Gale, James Propp, Scott Sutherland +1
We discuss some properties of a class of cellular automata sometimes called a "generalized ant". This system is perhaps most easily understood by thinking of an ant which moves abo…
Problems in holomorphic dynamics
Ben Bielefeld, Mikhail Lyubich, Lennart Carleson +7
Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal surgery; Curt McMullen, Rational maps and Teichmüller space; John Milnor, Thurston'…
Dynamics of certain non-conformal degree two maps on the plane
Ben Bielefeld, Scott Sutherland, Folkert Tangerman +1
In this paper we consider maps on the plane which are similar to quadratic maps in that they are degree 2 branched covers of the plane. In fact, consider for fixed, maps …
Polynomial root-finding algorithms and branched covers
Myong-Hi Kim, Scott Sutherland
We construct a family of root-finding algorithms which exploit the branched covering structure of a polynomial of degree with a path-lifting algorithm for finding individual ro…