| Budget Amount *help |
¥16,120,000 (Direct Cost: ¥12,400,000、Indirect Cost: ¥3,720,000)
Fiscal Year 2018: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Outline of Final Research Achievements |
Shishikura constructed a topological model for hedgehogs for irrationally indifferent fixed points by introducing the notion of dynamical charts, in order to apply the theory of near-parabolic renormalizations and its invariant spaces. Inou together with Mukherjee studied Tricorn family to prove non-landing properties of umbilical cords, except trivial cases. Shishikura together with David Marti Pete improved Bishop's quasiconformal folding techniques to show that there exists a transcendental entire function of finite order which has oscillating wandering domains.
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