| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The fundamental idea of asymptotic representation theory consists of focusing on the statistical feature of representations via the viewpoint of probability theory, which aims at understanding the structure of actions of big groups such as the infinite symmetric group. In this research project, we investigated behavior of statistical ensembles of Young diagrams which often appear in analysis of group representations. We introduced dynamical scaling limit into group-theoretical probabilistic motions in Young diagram ensembles and considered macroscopic time evolution of the limit shapes resulting from the effect of the law of large numbers. We obtained several results on the formulation and the properties for this model.
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