2011 Fiscal Year Final Research Report
Analytical studies of irrationally indifferent cycles in higher dimensional complex dynamics and Nevanlinna theory
| Project/Area Number |
21740096
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kyoto Institute of Technology |
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Principal Investigator |
OKUYAMA Yusuke 京都工芸繊維大学, 工芸科学研究科, 准教授 (00334954)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 複素力学系 / ネヴァンリンナ理論 / 無理的中立周期系 |
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| Research Abstract |
We obtained the finiteness and vanishig of the nonlinearity of finite morphisms on projective space over more general fields than complex numbers, and applied it to singular domains in complex dynamics in higher dimensions. Moreover, under the positivity of Lyapunov exponents, we obtained a partial affirmative answer for repelling density problem in non-archimedean dynamics by establishing the approximation formula of Lyapunov exponents.
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