Speaker
Kevin Pilgrim
(Indiana Universityl. Boomington.)
Description
A Thurston map $f: (S^2, P) \to (S^2, P)$ is \emph{nearly Euclidean} if its postcritical set $P$ has four points and each branch point is simple. We show that the problem of determining whether $f$ is equivalent to a rational map is algorithmically decidable, and we give a practical implementation of this algorithm. Executable code and data from 50,000 examples is tabulated at \url{https://www.math.vt.edu/netmaps/index.php}. This is joint work with W. Floyd and W. Parry.
Primary author
Kevin Pilgrim
(Indiana University. Bloomington.)
