# Complex dynamics and quasi-conformal geometry.

23-25 October 2017
Université d'Angers
Europe/Paris timezone

## Rationality is practically decidable for Nearly Euclidean Thurston maps.

25 Oct 2017, 10:30
55m
L003. (Université d'Angers)

### L003.

#### Université d'Angers

2 Boulevard Lavoisier 49000 Angers

### 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.)

### Presentation Materials

There are no materials yet.