Statistical physics approaches to nonlinear transport on complex networks
| Project/Area Number |
24540395
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
TAKAYASU MISAKO 東京工業大学, 総合理工学研究科(研究院), 准教授 (20296776)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Keywords | 複雑ネットワーク / 非線形輸送システム / 流域サイズ / 相転移現象 / 凝集現象 / 分岐過程 / 頑強性 / 物流ネットワーク / パーコレーション相転移 / 臨界点 / ネットワーク生存率 |
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| Outline of Final Research Achievements |
By analyzing big-data about 1 million business firms, we firstly confirmed that the transaction network has typical properties of complex networks such as power law distribution of link numbers. We then observe the amount of flow between pairs and established a nonlinear transport relation in the framework so-called gravity law. Generalizing this pairwise relation to the whole network system, we constructed a nonlinear transport model which enables estimation of flow intensity at any point. Additionally, we defined a new quantity that characterizes fragility of network connectivity by applying theory of percolation.
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Report
(4 results)
Research Products
(44 results)
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[Presentation] Statistical Physics of Financial Markets2014
Author(s)
Misako Takayasu
Organizer
4th Ph.D. Summer School -Conference on "Mathematical Modeling on Complex Systems"
Place of Presentation
Cultural Foundation "Kritiki Estia", Athens, Greece
Year and Date
2014-07-14
Related Report
Invited
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