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arXiv · 1509.07670

Bi-Lipschitz bijections of $\mathbb{Z}$

Itai Benjamini·Alexander Shamov
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Abstract

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.

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Itai Benjamini, Alexander Shamov. 2015-09-25. Bi-Lipschitz bijections of $\mathbb{Z}$. https://arxiv.org/abs/1509.07670

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