Random trees in the boundary of Outer space
Geometric Topology
2022-04-20 v3 Group Theory
Abstract
We prove that for the harmonic measure associated to a random walk on Out satisfying some mild conditions, a typical tree in the boundary of Outer space is trivalent and nongeometric. This answers a question of M. Bestvina.
Keywords
Cite
@article{arxiv.1904.10026,
title = {Random trees in the boundary of Outer space},
author = {Ilya Kapovich and Joseph Maher and Catherine Pfaff and Samuel J. Taylor},
journal= {arXiv preprint arXiv:1904.10026},
year = {2022}
}
Comments
28 pages; minor typesetting issues corrected from the previous update. Accepted for publication in Geometry & Topology