2012 Fiscal Year Final Research Report
The generation of quasi-periodic tilings and Ergodic theory
| Project/Area Number |
22540119
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kanazawa University |
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Principal Investigator |
ITO Shunji 金沢大学, 自然科学研究科, 研究員 (30055321)
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| Co-Investigator(Kenkyū-buntansha) |
FUJISAKI Hiroshi 金沢大学, 電子情報学系, 准教授 (80304757)
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| Co-Investigator(Renkei-kenkyūsha) |
FURUKADO Maki 横浜国立大学, 国際社会科学研究科, 助手 (20303068)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 高次元連分数アルゴリズム / サブスティテューション / タイリングサブスティテューション / フラクタル / 準周期タイリング / 領域交換変 |
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| Research Abstract |
It is known the condition of the digit sequence obtained by the Jacobi-Perron algorithm which generates a quasi-periodic tiling of the plane in Ito-Ohtsuki (1994). In this project, we showed that we can get the analogous result in terms of the new three multi dimensional algorithms.
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