| Project/Area Number |
22340028
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
AIKAWA Hiroaki 北海道大学, 大学院理学研究院, 教授 (20137889)
SHISHIKURA Mitsuhiro 京都大学, 大学院理学研究科, 教授 (70192606)
SUGAWA Toshiyuki 東北大学, 情報科学研究科, 教授 (32235858)
ASHIKAGA Tadashi 東北学院大学, 工学部, 教授 (90125203)
OHSHIKA Ken'ichi 大阪大学, 大学院理学研究科, 教授 (70183325)
須川 敏幸 東北大学, 情報科学研究科, 教授 (30235858)
大鹿 健一 大阪大学, 理学(系)研究科(研究院), 教授 (70183225)
大鹿 健一 大阪大学, 大学院・理学研究科, 教授 (70173325)
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥15,340,000 (Direct Cost: ¥11,800,000、Indirect Cost: ¥3,540,000)
Fiscal Year 2014: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
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| Keywords | Klein群 / リーマン面 / タイヒミュラー空間 / 複素力学系 / 複素解析 / 国際研究者交流 / 国際情報交換 / 多国籍 / リーマン面の退化 / Martin境界 / 正則運動 / ベキ変形,close-to-convex / くりこみ |
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| Outline of Final Research Achievements |
By developing the research of the complex structure of the deformation space of a Kleinian group, we find many complex analytic properties of the deformation space. We also find a relationship between the infectivity radius of a point in the moduli space and the hyperbolic structure as the point tends to the boundary. In the complex dynamics, we find new phenomenon on the structure of invariant sets near indifferent fixed points. A progress on the boundary Harnack principle on singular domains is done and some estimates about hyperbolic metrics with cone singularities are obtained.
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