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Cut-and-Project Schemes for Pisot Family Substitution Tilings
http://hdl.handle.net/2241/00157610
http://hdl.handle.net/2241/00157610571acf15-5e4e-4fac-b4ce-9b1daef37595
名前 / ファイル | ライセンス | アクション |
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symmetry-10-10-511 (274.1 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2019-08-28 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Cut-and-Project Schemes for Pisot Family Substitution Tilings | |||||
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 |
秋山, 茂樹
× 秋山, 茂樹× Lee, Jeong-Yup× Nagai, Yasushi |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We consider Pisot family substitution tilings in Rd whose dynamical spectrum is pure point. There are two cut-and-project schemes (CPSs) which arise naturally: one from the Pisot family property and the other from the pure point spectrum. The first CPS has an internal space Rm for some integer m∈N defined from the Pisot family property, and the second CPS has an internal space H that is an abstract space defined from the condition of the pure point spectrum. However, it is not known how these two CPSs are related. Here we provide a sufficient condition to make a connection between the two CPSs. For Pisot unimodular substitution tiling in R , the two CPSs turn out to be same due to the remark by Barge-Kwapisz. | |||||
書誌情報 |
en : Symmetry 巻 10, 号 10, p. 511, 発行日 2018-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2073-8994 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.3390/sym10100511 | |||||
権利 | ||||||
権利情報 | © 2018 by the authors | |||||
権利 | ||||||
権利情報 | Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | MDPI |