| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
In this research project, we developed theories related to stochastic analysis that were suitable for the study of spaces with anomalous structures, taking applications into consideration. In particular, we obtained some new results on the concepts of dimensions, metrics, and local structures of spaces derived by diffusion processes on fractals. Moreover, we solved the conjecture on the neo-classical inequality, and proved several properties on function spaces on infinite-dimensional state spaces.
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