%0 Journal Article
%T Constructing pseudo-Anosov maps with given dilatations
%A Hyungryul Baik
%A Ahmad Rafiqi
%A Chenxi Wu
%J Mathematics
%D 2014
%I arXiv
%X In this paper, we give sufficient conditions for a Perron number, given as the leading eigenvalue of an aperiodic matrix, to be a pseudo-Anosov dilatation of a compact surface. We give an explicit construction of the surface and the map when the sufficient condition is met.
%U http://arxiv.org/abs/1411.1385v2