| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
Although the complex Henon map is regarded as one of the most standard holomorphic dynamical systems in complex dimension two, the dynamical studyof its Julia set from the topological and combinatorial viewpoint has not been well developed. We introduced a combinatorial model called the Hubbard tree for such map and developed an algebraic formalism called the iterated monodromy group. Moreover, together with the help of numerical experiments, we also analyzed the dynamical structurein the parameter space of the Henon family.
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