%0 Journal Article
%T Bi-Lipschitz bijections of $\mathbb{Z}$
%A Itai Benjamini
%A Alexander Shamov
%J Mathematics
%D 2015
%I arXiv
%X It is shown that every bi-Lipschitz bijection from $\mathbb{Z}$ to itself is at a bounded $L_{\infty}$ distance from either the identity or the reflection. We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
%U http://arxiv.org/abs/1509.07670v1