Model sets: a survey

Robert V. Moody

Model sets: a survey

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arxiv math/0002020 v1 pith:JPG7QRGT submitted 2000-02-02 math.MG

Robert V. Moody This is my paper · ORCID

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keywords setsmodelanalyticalappliedarithmeticarticlecalledconnection

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This article surveys the mathematics of the cut and project method as applied to point sets, called here {\em model sets}. It covers the geometric, arithmetic, and analytical sides of this theory as well as diffraction and the connection with dynamical systems.

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Pure point measures with sparse support and sparse Fourier--Bohr support
math.MG 2019-08 accept novelty 7.0 of 10

Doubly sparse measures on second countable locally compact Abelian groups are shown to be supported on finitely many translates of a lattice with trigonometric polynomial amplitudes.

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