Diffraction of compatible random substitutions in one dimension
| dc.contributor.author | Baake, Michael | |
| dc.contributor.author | Spindeler, Timo | |
| dc.contributor.author | Strungaru, Nicolae | |
| dc.date.accessioned | 2021-01-15 | |
| dc.date.accessioned | 2022-05-31T01:43:06Z | |
| dc.date.available | 2022-05-31T01:43:06Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | As a guiding example, the diffraction measure of a random local mixture of the two classic Fibonacci substitutions is determined and reanalysed via self-similar measures of Hutchinson type, defined by a finite family of contractions. Our revised approach yields explicit formulas for the pure point and the absolutely continuous parts, as well as a proof for the absence of singular continuous components. This approach is then extended to the family of random noble means substitutions and, as an example with an underlying 2-adic structure, to a locally randomised version of the period doubling chain. As a first step towards a more general approach, we interpret our findings in terms of a disintegration over the Kronecker factor, which is the maximal equicontinuous factor of a covering model set. | |
| dc.format.extent | 488.63KB | |
| dc.format.mimetype | ||
| dc.identifier.citation | Baake, M., Spindeler, T., & Strungaru, N. (2018). Diffraction of compatible random substitutions in one dimension. arXiv:1712.00323v2. https://arxiv.org/abs/1712.00323 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/2134 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | diffraction | |
| dc.subject | Fibonacci substitutions | |
| dc.subject | Kronecker factor | |
| dc.title | Diffraction of compatible random substitutions in one dimension | en |
| dc.type | Report | |
| dspace.entity.type |
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