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math.PR2021
Almost sure recovery in quasi-periodic structures
Mircea Petrache, Rodolfo Viera
We study random perturbations of quasi-periodic uniformly discrete sets in the -dimensional euclidean space. By means of Diffraction Theory, we find conditions under which a qua…
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…