2011 Fiscal Year Final Research Report
Study of Geometry of a discrete space through randomness
| Project/Area Number |
20244002
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tohoku University |
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Principal Investigator |
KOTANI Motoko 東北大学, 大学院・理学研究科, 教授 (50230024)
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| Co-Investigator(Kenkyū-buntansha) |
SHIOYA Takashi 東北大学, 大学院理学研究科, 教授 (90235507)
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| Co-Investigator(Renkei-kenkyūsha) |
ARAI Hitoshi 東京大学, 大学院数理科学研究科, 教授 (10175953)
KUMAGAI Takashi 京都大学, 数理解析研究所, 教授 (90234509)
IZEKI Hiroyasu 慶應義塾大学, 理工学部, 教授 (90244409)
NAYATANI Shin 名古屋大学, 大学院多元数理科学研究科, 教授 (70222180)
TATE Tatsuya 東北大学, 大学院理学研究科, 准教授 (00317299)
ISHIWATA Satoshi 山形大学, 大学院理学部, 准教授 (70375393)
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| Project Period (FY) |
2008 – 2011
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| Keywords | ランダムウォーク / ラプラシアン / 距離測度空間 |
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| Research Abstract |
Aim of this research proposal is to develop new methods to study geometric objects with singularities, or discrete spaces, which are not accessible by traditional differential geometrical technics. Our idea is to apply probability theory to those geometric objects. Some results are obtained and published from international journals.
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