Constructing pseudo-Anosov maps with given dilatations
Geometric Topology
2018-03-14 v2 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1411.1385,
title = {Constructing pseudo-Anosov maps with given dilatations},
author = {Hyungryul Baik and Ahmad Rafiqi and Chenxi Wu},
journal= {arXiv preprint arXiv:1411.1385},
year = {2018}
}
Comments
14 pages, 8 figures