Growth of intersection numbers for free group automorphisms
Group Theory
2014-02-26 v3 Geometric Topology
Abstract
For a fully irreducible automorphism \phi of the free group F_k we compute the asymptotics of the intersection number n \mapsto i(T,T'\phi^n) for trees T,T' in Outer space. We also obtain qualitative information about the geometry of the Guirardel core for the trees T and T'\phi^n for n large.
Keywords
Cite
@article{arxiv.0806.4975,
title = {Growth of intersection numbers for free group automorphisms},
author = {Jason Behrstock and Mladen Bestvina and Matt Clay},
journal= {arXiv preprint arXiv:0806.4975},
year = {2014}
}
Comments
33 pages, 6 figures, incorporates referee's suggestions