| Project/Area Number |
21654017
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The University of Tokyo (2010-2011)
Hiroshima University (2009) |
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Principal Investigator |
MATSUMOTO Makoto 東京大学, 大学院・数理科学研究科, 教授 (70231602)
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| Co-Investigator(Renkei-kenkyūsha) |
HAGITA Mariko お茶の水女子大学, 人間文化創成科学研究科, 准教授 (70338218)
NISHIMURA Takuji 山形大学, 理学部, 准教授 (90333947)
SAITOU Mutsuo 広島大学, 大学院・理学研究科, 助教 (30507736)
HARAMOTO Hiroshi 愛媛大学, 教育学部, 講師 (40511324)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,300,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2009: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | 応用数学疑似乱数 / 並列処理 / 暗号 / シミュレーション / 疑似乱数 / 格子簡約 / WAFOM / 超一様点列 / 国際研究者交流 / 米国 |
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| Research Abstract |
Mutsuo Saito and Matsumoto designed MTGP random number generators which specialize for the architecture of Graphic Processing Units, and its dynamic parameter generator MTGPDC. Also, TinyMT generators with small size of memory are developed. These are open source from our homepage. Haramoto et. al. gave methods to compute the distribution of lower bits of random numbers using generalized Mac Williams identity.
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