| Project/Area Number |
25870743
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
Foundations of mathematics/Applied mathematics
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| Research Institution | University of the Ryukyus (2016)
Chuo University (2013-2015) |
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Principal Investigator |
Yamamoto Ken 琉球大学, 理学部, 講師 (00634693)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 確率過程 / ベキ分布 / 対数正規分布 / 社会物理学 / 統計物理学 / 確率モデル / 社会現象 / ベキ乗則 / 統計則 / 応用数学 |
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| Outline of Final Research Achievements |
In this research project, heavy-tailed probability distributions in social and biological phenomena have been analyzed theoretically.
First, a simple stochastic model has been constructed and analyzed, which is regarded as a model for the box-office grosse of a movie. This model can explain a power-law decay in the distribution of box-office grosses. Second, we have found that the number of articles within a law follows a lognormal distribution. The tree structure whose depth is normally distributed is an appropriate model for this lognormal behavior. Third, the size distribution of bacterial cells is studied. Our analysis of a phenomenological stochastic model for the bacterial growth has given a theoretical basis for the lognormality of the cell-size distribution.
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