| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We addressed the problem of showing the large deviation principle in a wide class of one-dimensional smooth dynamical systems. We conducted joint research with Juan Rivera-Letelier (Rochester University) and Hiroki Takahasi (Keio University). As a result, it is shown that the level-2 large deviation principle holds without assuming any hyperbolicity for all topologically exact smooth interval maps whose critical points are non-flat. Regarding this result, we wrote the paper entitled "Large deviation principle in one-dimensional dynamics" and published it in a math journal.
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