Robust matching rules for real quasicrystals
| Autor: | Kalugin, Pavel, Katz, André |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1742-6596/1458/1/012002 |
| Popis: | We consider the problem of extraction and validation of matching rules, directly from the phased diffraction data of a quasicrystal, and propose an algorithmic procedure to produce the rules of the shortest possible range. We have developed a geometric framework to express such rules together with a homological mechanism enforcing the long-range quasiperiodic order. This mechanism tolerates the presence of defects in a robust way. Comment: Talk at ICQ14 |
| Databáze: | arXiv |
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