%0 Journal Article %T Algorithmic construction of Hurwitz maps %A Laurent Bartholdi %A Xavier Buff %A Hans-Christian Graf von Bothmer %A Jakob Kr£¿ker %J Mathematics %D 2013 %I arXiv %R 10.1080/10586458.2013.860569 %X We describe an algorithm that, given a k-tuple of permutations representing the monodromy of a rational map, constructs an arbitrarily precise floating-point complex approximation of that map. We then explain how it has been used to study a problem in dynamical systems raised by Cui. %U http://arxiv.org/abs/1303.1579v2