Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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Outline of Final Research Achievements |
In complex network models, describing the connection pattern of networks such as the internet, the degree (the number of edges directly connecting to a vertex) has a property (scale-free property) to be distributed according to a power law. Mathematical models of networks with scale-free property were constructed, and the eigenvalue distributions of the adjacency matrices were studied. In addition, random matrix models with complex eigenvalues were extended and universal behavior was found, by using the property of orthogonal polynomials on the complex plane.
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