Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets

DOI10.1112/plms.12091zbMath1394.52022arXiv1602.08928OpenAlexW3122611752MaRDI QIDQ4638001

Tobias Hartnick, Felix Pogorzelski, Michael Björklund

Publication date: 3 May 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08928

zbMATH Keywords

diffractionlocally compact second countable groupmodel setsauto-correlation measure

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (17)

Approximate invariance for ergodic actions of amenable groups ⋮ Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ Approximate lattices ⋮ Pure point diffraction and Poisson summation ⋮ Characterisation of Meyer sets via the Freiman-Ruzsa theorem ⋮ A note on entropy of Delone sets ⋮ Delone dynamical systems and spectral convergence ⋮ Approximate lattices in higher-rank semi-simple groups ⋮ Classifying the dynamics of architected materials by groupoid methods ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Aperiodic order and spherical diffraction. III: The shadow transform and the diffraction formula ⋮ Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes ⋮ Analytic properties of approximate lattices ⋮ Aperiodic order and spherical diffraction. II: Translation bounded measures on homogeneous spaces ⋮ BOREL DENSITY FOR APPROXIMATE LATTICES ⋮ Spectral theory of approximate lattices in nilpotent Lie groups ⋮ Leptin densities in amenable groups

This page was built for publication: Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets