| Project/Area Number |
07304020
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 総合 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Osaka University |
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Principal Investigator |
KOTANI Shin-ichi Dept.of Math.Osaka Univ.Professor, 大学院・理学研究科, 教授 (10025463)
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| Co-Investigator(Kenkyū-buntansha) |
HIGUCHI Yasunari Dept.Math.Kobe Univ.Professor, 理学部, 教授 (60112075)
UCHIYAMA Kohei Dept.of Applied Phys.Tokyo Inst.of Tech.Ass.Professor, 理学部, 助教授 (00117566)
KUMAGAI Takashi Dept.of Math.Nagoya Univ.Ass.Professor, 大学院・多元数理科学研究科, 助教授 (90234509)
KUSUOKA Shigeo Dept.of Math.Univ.of Tokyo Professor, 大学院・数理科学研究科, 教授 (00114463)
ATSUJI Atsushi Dept.of Math.Osaka Univ.Lecturer, 大学院・理学研究科, 講師 (00221044)
杉田 洋 九州大学, 数理学研究科, 助教授 (50192125)
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| Project Period (FY) |
1995 – 1996
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| Project Status |
Completed (Fiscal Year 1996)
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| Budget Amount *help |
¥17,500,000 (Direct Cost: ¥17,500,000)
Fiscal Year 1996: ¥7,800,000 (Direct Cost: ¥7,800,000)
Fiscal Year 1995: ¥9,700,000 (Direct Cost: ¥9,700,000)
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| Keywords | Stocharfic process / Stochastic analysis / mathematical finance / fractal / fluid mechanical limit / ergode theory / stochastic control / Browuian motion / 確率過程 / 確率微分方程式 / パーコレイション / 無限粒子系 / シュレ-ディンガー作用系 / 無限次元解析 / 極限定理 / 力学系 |
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| Research Abstract |
This research project was executed for 2 years, namely in 1995 and 1996. We opened 12 symposia during these two years on various matters relating probability theory and exchanged information. You will find the detail of the symposia in the research report of the project.
Especilally, it was significant that we could know the interrelationship between probability theory and other fields of mathematics, phisics, biology, finance. In mathematics we could achieve progress in the fields relating to number theory, differential equation, spectral theory, differential geometry.
We also opend summer schools in 1995 and 1996 so that young generation could get clear understanding what is going on in the present probability theory. We chose two topics : [Fluid mechanical limit] in 1995 and [Ergode theory and number theory] in 1996, which are studied very actively in this country. We believe that this atempt was welcomed and could assist them to determine the direction of their future research.
In the ends of the years, we planned general simposia on probability theory to unify the fields as well as the researchers. We believe that this type of simposium is quite essential to give a perspective view of our research.
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