Value distribution theory of meromorphic functions based on diffusion processes
| Project/Area Number |
24540192
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Keio University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
TAMURA Yozo 慶應義塾大学, 理工学部, 教授 (50171905)
AIHARA Yoshohiro 福島大学, 人間発達文化学類, 教授 (60175718)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 複素解析 / 拡散過程 / 正則写像 / 値分布論 / ネヴァンリンナ理論 / 複素葉層構造 / 有理形関数 / 正則拡散過程 / 有理型関数の値分布論 / 有理形関数の値分布論 |
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| Outline of Final Research Achievements |
We continuously investigate the theory of value distribution of holomorphic maps using probabilistic technique. We found Nevanlinna theory based on diffusion processes in our previous works and we have developed it. In this project we try to apply our theory to new and wider objects than our previous research. Our main object is the value distribution of holomorphic maps on complex foliated spaces. We obtained some results on value distribution of these maps, for instance, we showed a Picard type theorem of meromorphic functions associated with complex foliation structure.
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Report
(4 results)
Research Products
(9 results)
