Algorithmic construction of Hurwitz maps
Algebraic Topology
2016-06-28 v2 Dynamical Systems
Group Theory
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.
Cite
@article{arxiv.1303.1579,
title = {Algorithmic construction of Hurwitz maps},
author = {Laurent Bartholdi and Xavier Buff and Hans-Christian Graf von Bothmer and Jakob Kröker},
journal= {arXiv preprint arXiv:1303.1579},
year = {2016}
}
Comments
23 pages, three colour figures; to appear in Exp. Math