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The computation of overlap coincidence in Taylor--Socolar substitution tiling
http://hdl.handle.net/2241/00122419
http://hdl.handle.net/2241/00122419d815c29d-5b86-445f-97b7-bd68cefec418
名前 / ファイル | ライセンス | アクション |
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OJM_51-3 (316.0 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2014-11-07 | |||||
タイトル | ||||||
タイトル | The computation of overlap coincidence in Taylor--Socolar substitution tiling | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Akiyama, Shigeki
× Akiyama, Shigeki× Lee, Jeong-Yup |
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著者別名 |
秋山, 茂樹
× 秋山, 茂樹 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Recently Taylor and Socolar introduced an aperiodic mono-tile. The associated tiling can be viewed as a substitution tiling. We use the substitution rule for this tiling and apply the algorithm of [1] to check overlap coincidence. It turns out that the tiling has overlap coincidence. So the tiling dynamics has pure point spectrum and we can conclude that this tiling has a quasicrystalline structure. | |||||
書誌情報 |
Osaka journal of mathematics 巻 51, 号 3, p. 597-609, 発行日 2014-07 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0030-6126 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00765910 | |||||
権利 | ||||||
権利情報 | Dept. of Mathematics, Osaka University | |||||
権利 | ||||||
権利情報 | Dept. of Mathematics, Osaka City University | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | Dept. of Mathematics, Osaka University | |||||
出版者 | ||||||
出版者 | Dept. of Mathematics, Osaka City University |