| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
With Jeong-Yup Lee we developed a practical algorithm to check pure discreteness of translation dynamics of the orbit closure of self-affine tilings with Pisot family condition. Pisot numbers often appears as dilation constants of self-inducing structures. We observed similar Pisot dilations in the self-similar dissection problem of planar shapes in the joint paper with R. Okazaki, J. Luo, J. Thuswaldner and W. Steiner. With Benoit Loridant, we succeeded in giving a standard parameterization of boundaries of self-affine tilings and showed its effectiveness in their topological classification.
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