[A remark concerning bi-Lipschitz equivalence of Delone sets]
Linearly repetitive Delone sets are shown to be rectifiable by a bi-Lipschitz homeomorphism of the Euclidean space sending it to the standard lattice.
Nous démontrons que tout ensemble de Delone linéairement répetitif est rectifiable par un homéomorphisme bilipschitzien de l'espace qui l'envoie sur l'ensemble des points à coordonnées entières.
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Andrés Navas 1
@article{CRMATH_2016__354_10_976_0, author = {Andr\'es Navas}, title = {Une remarque \`a propos de l'\'equivalence bilipschitzienne entre des ensembles de {Delone}}, journal = {Comptes Rendus. Math\'ematique}, pages = {976--979}, publisher = {Elsevier}, volume = {354}, number = {10}, year = {2016}, doi = {10.1016/j.crma.2016.08.010}, language = {fr}, }
Andrés Navas. Une remarque à propos de l'équivalence bilipschitzienne entre des ensembles de Delone. Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 976-979. doi : 10.1016/j.crma.2016.08.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.08.010/
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