| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
I studied local structures and noises of diffusion processes associated with Dirichlet forms on spaces with anomalous structures such as fractals and infinite dimensional spaces. In particular, I proved some relations between two distances on a class of fractals derived from natural Dirichlet forms, and studied a general theory and nontrivial examples of functions of locally bounded variations on the Wiener space together with their applications to stochastic analysis. The papers on these studies have been published in academic journals. Moreover, I wrote a survey paper based on my studies of the past several years.
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