Random outer automorphisms of free groups: Attracting trees and their singularity structures
Group Theory
2018-06-01 v1 Geometric Topology
Abstract
We prove that a "random" free group outer automorphism is an ageometric fully irreducible outer automorphism whose ideal Whitehead graph is a union of triangles. In particular, we show that its attracting (and repelling) tree is a nongeometric -tree all of whose branch points are trivalent
Cite
@article{arxiv.1805.12382,
title = {Random outer automorphisms of free groups: Attracting trees and their singularity structures},
author = {Ilya Kapovich and Joseph Maher and Catherine Pfaff and Samuel J. Taylor},
journal= {arXiv preprint arXiv:1805.12382},
year = {2018}
}
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