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math.MG2025
A remark on dimensionality reduction in discrete subgroups
Rodolfo Viera
In this short note, we prove a version of the Johnson-Lindenstrauss flattening Lemma for point sets taking values in discrete subgroups. More precisely, given $d,λ_0,N_0\in\mathbb{…
math.MG2024
On rectifiability of Delone sets in intermediate regularity
Irene Inoquio-Renteria, Rodolfo Viera
In this work, we deal with Delone sets and their rectifiability under different classes of regularity. By pursuing techniques developed by Rivière and Ye, and Aliste-Prieto, Corone…
math.MG2021
Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections
Rodolfo Viera
We prove that there exist Delone sets in , , which cannot be mapped onto the standard lattice by Lipschitz co-uniformly continuous bijections…