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# Complex dynamics and quasi-conformal geometry.

23-25 octobre 2017
Université d'Angers
Europe/Paris timezone
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# Contribution

Université d'Angers - L003.

# Rationality is practically decidable for Nearly Euclidean Thurston maps.

## Intervenant(s)

• Kevin PILGRIM

## 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.