Algorithmic Construction of Hurwitz Maps
Laurent Bartholdi, Xavier Buff, Hans‐Christian Graf von Bothmer, Jakob Kröker · Experimental Mathematics · 2015
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.