Distribution of eigenvalues of random operators and related limit theorems
| Project/Area Number |
26400148
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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 | Keio University |
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Principal Investigator |
MINAMI Nariyuki 慶應義塾大学, 医学部(日吉), 教授 (10183964)
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| Co-Investigator(Renkei-kenkyūsha) |
NAKANO Fumihiko 学習院大学, 理学部, 教授 (10291246)
UEKI Naomasa 京都大学, 人間・環境学研究科, 教授 (80211069)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | ランダム作用素 / スペクトル統計 / 一般化シュレーディンガー作用素 / 感染症数理モデル / 世代間隔 / 感染症モデリング |
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| Outline of Final Research Achievements |
(1) 1-dimensional Schroedinger operator H with decaying white noise potential is considered, and its spectral properties are determined when the decaying factor is square integrable. Also, the property of a part of the spectrum of H is determined when the decaying factor is not square integrable.
(2) Based on a mathematical model which incorporates a hypothesis that adult males and females are mildly segregated in their social life, it is shown that a condition is ready for the 2013 rubella outbreak in Japan. By another mathematical model, possible consequences of the rubella vaccination limited to schoolgirls were shown.
(3) A stochastic model is constructed in order to clarify the notion of "generation interval" in infectious disease epidemiology.
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Report
(5 results)
Research Products
(13 results)
