| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Research Abstract |
1. We studied random walks on finite groups by using representation theory of finite groups, especially evaluation of their convergency ratio.
2. Applying the result of 1, we show that a random walk on a symmetric group induces a random sampling of covergency tables.
3. Applying some methods of algebraic geometry, we studies a problem in metal archaeology (lead isotope method with mixture of leads). 2 and 3 look unrelated, but Markokv spaces (higher dimentional simplexes) appear in both fields.
4. We studied Burnside rings and Mackey functors on Markov spaces in representation theory.
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