Geodesic
Approximate Lattices and Meyer Sets in Nilpotent Lie Groups
Discrete analysis (2020)

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arXiv
We show that uniform approximate lattices in nilpotent Lie groups are subsets of model sets. This extends a theorem due to Yves Meyer about quasicrystals in Euclidean spaces. To do so we study relatively dense subsets of simply connected nilpotent Lie groups and their logarithms. We then deduce a simple criterion for the existence of an approximate lattice in a given nilpotent Lie group.
Publié le : 
Simon Machado. Approximate Lattices and Meyer Sets in Nilpotent Lie Groups. Discrete analysis (2020). http://geodesic.mathdoc.fr/item/DAS_2020_a19/
@article{DAS_2020_a19,
     author = {Simon Machado},
     title = {Approximate {Lattices} and {Meyer} {Sets} in {Nilpotent} {Lie} {Groups}},
     journal = {Discrete analysis},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2020_a19/}
}
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AU  - Simon Machado
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JO  - Discrete analysis
PY  - 2020
UR  - http://geodesic.mathdoc.fr/item/DAS_2020_a19/
LA  - en
ID  - DAS_2020_a19
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