Bi-Lipschitz Bijections of Z

It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.

Bibliographic Details
Main Authors: Benjamini Itai, Shamov Alexander
Format: Article
Language:English
Published: De Gruyter 2015-10-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2015-0018