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math.GR2023
The definitions of approximate lattices
Simon Machado
Approximate lattices of locally compact groups were first studied in a seminal monograph of Yves Meyer and were subsequently used in the theory of aperiodic order to model objects…
math.GR2023
Small doubling for discrete subsets of non-commutative groups and a theorem of Lagarias
Simon Machado
Approximate lattices of Euclidean spaces, also known as Meyer sets, are aperiodic subsets with fascinating properties. In general, approximate lattices are defined as approximate s…