Geodesic
Bi-Lipschitz Bijections of Z
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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.
Mots-clés : Bi-Lipschitz, bijections 
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     author = {Benjamini, Itai and Shamov, Alexander},
     title = {Bi-Lipschitz {Bijections} of {Z}},
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     number = {1},
     year = {2015},
     zbl = {1325.26011},
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}
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Benjamini, Itai; Shamov, Alexander. Bi-Lipschitz Bijections of Z. Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a19/