| Project/Area Number |
22540117
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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 | Yokohama National University |
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Principal Investigator |
FURUKADO Maki 横浜国立大学, 国際社会科学研究科, 助手 (20303068)
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| Co-Investigator(Kenkyū-buntansha) |
ITO Shunji 金沢大学, 自然科学研究科, 研究員 (30055321)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 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 / フラクタル境界 / 自己同型変換 / マルコフ変換 / キャンセレーション問題 |
|---|
| Research Abstract |
The tiling substitutions obtained by the Rauzy induction of4-interval exchange transformations with the period of length 8 sometimes generate theoverlapping patch. We avoid this phenomenon by using the “blocking method” and wesucceeded in generating 8 tilings.
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