Boundary Values of the Thurston Pullback Map
Dynamical Systems
2012-12-13 v1
Abstract
For any Thurston map with exactly four postcritical points, we present an algorithm to compute the Weil-Petersson boundary values of the corresponding Thurston pullback map. This procedure is carried out for the Thurston map f(z)=3z^2/(2z^3+1) originally studied by Buff, et al. The dynamics of this boundary map are investigated and used to solve the analogue of Hubbard's Twisted Rabbit problem for f.
Cite
@article{arxiv.1212.2672,
title = {Boundary Values of the Thurston Pullback Map},
author = {Russell Lodge},
journal= {arXiv preprint arXiv:1212.2672},
year = {2012}
}
Comments
54 pages, 15 figures