Invariant spanning trees for quadratic rational maps
Dynamical Systems
2021-01-08 v4
Abstract
We study Thurston equivalence classes of quadratic post-critically finite branched coverings. For these maps, we introduce and study invariant spanning trees. We give a computational procedure for searching for invariant spanning trees. This procedure uses bisets over the fundamental group of a punctured sphere. We also introduce a new combinatorial invariant of Thurston classes - the ivy graph.
Cite
@article{arxiv.1808.05489,
title = {Invariant spanning trees for quadratic rational maps},
author = {Anastasia Shepelevtseva and Vladlen Timorin},
journal= {arXiv preprint arXiv:1808.05489},
year = {2021}
}
Comments
A small but essential correction in Theorem A compared to the published version; 55 pages, 8 figures