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- W4308481512 abstract "A converse is given to the well-known fact that a hyperplane localised zero mode of a crystallographic bar-joint framework gives rise to a line or lines in the zero mode (RUM) spectrum. These connections motivate definitions of linear zero mode spectra, for an aperiodic bar-joint framework $G$, that are based on relatively dense sets of linearly localised flexes. For a Delone framework in the plane the limit spectrum ${bf L}_{lim}(G, a)$ is defined in this way, as a subset of the reciprocal space for a reference basis $a$ of the ambient space. A smaller spectrum, the slippage spectrum ${bf L}_{slip}(G, a)$, is also defined. In the case of the quasicrystal parallelogram frameworks associated with regular multi-grids, in the sense of de Bruijn and Beenker, these spectra coincide and are determined in terms of the geometry of $G$." @default.
- W4308481512 created "2022-11-12" @default.
- W4308481512 creator A5082805697 @default.
- W4308481512 date "2021-11-11" @default.
- W4308481512 modified "2023-09-26" @default.
- W4308481512 title "Linear zero mode spectra for quasicrystals" @default.
- W4308481512 doi "https://doi.org/10.48550/arxiv.2111.06136" @default.
- W4308481512 hasPublicationYear "2021" @default.
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