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Bi-Lipschitz Bijections of Z

Itai Benjamini; Alexander Shamov — 2015

Analysis and Geometry in Metric Spaces

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.

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