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arXiv · 1303.1579

Algorithmic construction of Hurwitz maps

Laurent Bartholdi·Xavier Buff·Hans-Christian Graf von Bothmer·Jakob Kröker
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Abstract

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.

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Laurent Bartholdi, Xavier Buff, Hans-Christian Graf von Bothmer, Jakob Kröker. 2013-10-27. Algorithmic construction of Hurwitz maps. https://doi.org/10.1080/10586458.2013.860569

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