| Project/Area Number |
21740070
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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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 | Okayama University |
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Principal Investigator |
SHIOZAWA Yuuichi Okayama University, 大学院・自然科学研究科, 准教授 (60454518)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 確率論 / 分枝マルコフ過程 / ランダム環境 / 局在化 / 純飛躍型マルコフ過程 / 保存性 / ディリクレ形式 / ブラウン運動 / 分枝過程 / ジャンプ過程 |
|---|
| Research Abstract |
I studied about branching Brownian motions in random environment. As a result, it is proved that, even if the process may go extinct, the localization in weak sense occurs under the survival event. I also studied about symmetric Markov processes of pure jump-type and gave a sufficient condition for them to be conservative. I then constructed the explosive process of pure jump-type by the time change of symmetric stable process, which verifies that our sufficient condition is sharp.
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