Extensions of Schreiber's theorem on discrete approximate subgroups in \(\mathbb{R}^d\)

DOI10.5802/jep.90zbMath1472.11056arXiv1901.08055OpenAlexW2912427173MaRDI QIDQ1729928

Alexander Fish

Publication date: 7 March 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08055

zbMATH Keywords

Meyer setsapproximate groupsapproximate lattices

Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23) Analysis on specific locally compact and other abelian groups (43A70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (3)

Infinite approximate subgroups of soluble Lie groups ⋮ Approximate lattices in higher-rank semi-simple groups ⋮ Spectral theory of approximate lattices in nilpotent Lie groups

Cites Work

• Approximate lattices
• Meyer's concept of quasicrystal and quasiregular sets
• The structure of approximate groups.
• Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969
• Stable group theory and approximate subgroups
• Freiman's theorem in an arbitrary abelian group
• Unnamed Item

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