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.
Linearly repetitive Delone sets are shown to be rectifiable by a bi-Lipschitz homeomorphism of the Euclidean space sending it to the standard lattice.
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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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