2009 Fiscal Year Final Research Report
Research about effects of boundary states on conditional distributions
| Project/Area Number |
19540129
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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 | Nara Women's University |
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Principal Investigator |
TOMISAKI Matsuyo Nara Women's University, 理学部, 教授 (50093977)
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| Co-Investigator(Kenkyū-buntansha) |
SHINODA Masato 奈良女子大学, 理学部, 准教授 (50271044)
IIZUKA Masaru 九州歯科大学, 歯学部, 准教授 (20202830)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 広義拡散過程 / 広義拡散作用素 / 境界条件 / 調和変換 / マルコフ性 |
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| Research Abstract |
The method of harmonic transform is a useful one to analyze some properties of Green kernels and diffusion processes. It should be noted that these Green kernels and diffusion processes are minimal. However minimal stochastic processes are not always treated in applied mathematics such as population genetics. In our research, conditional distributions of non minimal generalized diffusion processes and the effect of asymptotic behavior of sample paths near the boundaries on conditional distributions are investigated.
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