Bi-Lipschitz bijections of $\mathbb{Z}$
Metric Geometry
2015-09-28 v1
Abstract
It is shown that every bi-Lipschitz bijection from to itself is at a bounded distance from either the identity or the reflection. We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
Cite
@article{arxiv.1509.07670,
title = {Bi-Lipschitz bijections of $\mathbb{Z}$},
author = {Itai Benjamini and Alexander Shamov},
journal= {arXiv preprint arXiv:1509.07670},
year = {2015}
}