Eberlein decomposition for PV inflation systems

dc.contributor.author	Baake, Michael
dc.contributor.author	Strungaru, Nicolae
dc.date.accessioned	2022-05-02
dc.date.accessioned	2022-05-31T01:50:53Z
dc.date.available	2022-05-31T01:50:53Z
dc.date.issued	2021
dc.description.abstract	The Dirac combs of primitive Pisot–Vijayaraghavan (PV) inflations on the real line or, more generally, in Rd are analysed. We construct a mean-orthogonal splitting for such Dirac combs that leads to the classic Eberlein decomposition on the level of the pair correlation measures, and thus to the separation of pure point versus continuous spectral components in the corresponding diffraction measures. This is illustrated with two guiding examples, and an extension to more general systems with randomness is outlined.
dc.format.extent	376.67KB
dc.format.mimetype	PDF
dc.identifier.citation	Baake, M., Strungaru, N. (2021). Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics 111(2),59. https://doi.org/10.1007/s11005-021-01399-w
dc.identifier.doi	https://doi.org/10.1007/s11005-021-01399-w
dc.identifier.uri	https://hdl.handle.net/20.500.14078/2626
dc.language	English
dc.language.iso	en
dc.relation.uri	https://roam.macewan.ca/islandora/object/gm:2709
dc.rights	Attribution (CC BY)
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	inflation tilings
dc.subject	diffraction measure
dc.subject	Eberlein decomposition
dc.subject	spectral components
dc.title	Eberlein decomposition for PV inflation systems	en
dc.type	Article

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