2015 Fiscal Year Final Research Report
Studies on two dimensional critical stochastic process by exactly solvable models and field theory
| Project/Area Number |
24540393
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
茂木 康平 東京海洋大学, 海洋科学技術研究科, 助教 (30583033)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 確率過程 / 臨界現象 / シュラム・レヴナー発展 / 共形場理論 / 可解模型 / 可積分系 / グロタンディーク多項式 / K理論 |
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| Outline of Final Research Achievements |
Random fractals are a geometric structure universally appearing in the critical phenomena. Applying the Schramm-Loewner evolution, we have investigated the structure of random fractals observed in the two dimensional critical phenomena.
Furthermore, some relation between solvable models and geometry has been studied. Namely, we have found that some integrable models are related to the K theory defined on complex manifolds.
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| Free Research Field |
数理物理学
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