Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898923 | Journal of Geometry and Physics | 2007 | 23 Pages |
Abstract
The paper establishes an equivalence between pure point diffraction and certain types of model sets, called inter-model sets, in the context of substitution point sets and substitution tilings. The key ingredients are a new type of coincidence condition in substitution point sets, which we call algebraic coincidence, and the use of a recent characterization of model sets through dynamical systems associated with the point sets or tilings.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jeong-Yup Lee,