Dynamical systems and number theoretical problems coming from compactifications of digital representations of the real numbers
| Project/Area Number |
18540151
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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 | Matsuyama University |
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Principal Investigator |
KAMAE Teruro Matsuyama University, 経済学部, 教授 (80047258)
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| Project Period (FY) |
2006 – 2007
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| Project Status |
Completed (Fiscal Year 2008)
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| Budget Amount *help |
¥2,760,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | numeration system / colored tiling / homogeneous cocycle / 一様集合 / 最適位置 / complexity / 記号力学系 / 超定常集合 / optimal position / uniform set / uniform complexity / language structure / primitive factor / dimension / 算法体系 / 重み付置換規則 / Pisot数 / エントロピーの推定 / pattern Sturmian word |
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| Research Abstract |
本研究の目的は,実数のデジタル表示にともなうコンパクト化の考察であった。とくに,連続なスケーリングを許すような数体系と,この上の同次コサイクルを考察し,興味あるフラクタル関数や自己相似確率過程を導いた。また,派生した問題である一様集合の解析で顕著な結果が得られた
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Report
(4 results)
Research Products
(17 results)
