Functional analysis for weighted Markov processes and its applications
| Project/Area Number |
26400143
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kumamoto University |
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Principal Investigator |
Kim Daehong 熊本大学, 大学院先端科学研究部(工), 教授 (50336202)
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| Co-Investigator(Kenkyū-buntansha) |
桑江 一洋 福岡大学, 理学部, 教授 (80243814)
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| Co-Investigator(Renkei-kenkyūsha) |
UEMURA Toshihiro 関西大学, 理工学部, 教授 (30285332)
SHIOZAWA Yuichi 大阪大学, 理学部, 准教授 (60454518)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 確率論 / 確率解析 / 確率過程論 / ディリクレ形式論 / 一般化ファインマン・カッツ汎関数 / 熱核の安定性 / ゲージ関数 / ランダム媒質中の多次元拡散過程 / p-独立性 / Feynman-Kac functionals / gaugeability / heat kernel / stability / Markov process / Green-tight Kato class / Penalization |
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| Outline of Final Research Achievements |
In this research, we were able to investigate several properties of weighted stochastic processes induced by generalized Feynman-Kac functionals with continuous additive functionals of zero energy which is not necessarily of zero quadratic variation, using the theory of weighted Markov processes and their analytic counterparts.
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Report
(4 results)
Research Products
(28 results)
