Binary Self-Similar One-Dimensional Quasilattices: Mutual Local-Derivability Classification and Substitution Rules
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概要
- 論文の詳細を見る
Self-similar binary one-dimensional (1D) quasilattices (QLs) are classified into mutual local-derivability (MLD) classes. It is shown that the MLD classification is closely related to the number-theoretical classification of parameters which specify the self-similar binary 1D QLs. An algorithm to derive an explicit substitution rule, which prescribes the transformation of a QL into another QL in the same MLD class, is presented. An explicit inflation rule, which prescribes the transformation of the self-similar 1D QL into itself, is obtained as a composition of the explicit substitution rules. Symmetric substitution rules and symmetric inflation rules are extensively discussed.
- Physical Society of Japanの論文
- 2001-10-15
著者
-
Odagaki Takashi
Department Of Chemistry Faculty Of Science Kyoto University
-
Niizeki Komajiro
Department Of Physics Faculty Of Science Tohoku University
-
Torikai Masashi
Department Of Physics Engineering Faculty Of Engineering Mie University
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Niizeki Komajiro
Department of Physics, Graduate School of Science,
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