Stochastic processes in random media
| Project/Area Number |
24740055
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 不規則媒質 / 確率過程 / 均質化 / ランダム媒質 / 高分子模型 / 中心極限定理 / アンダーソン模型 / ランダムウォーク / 国際研究者交流，ドイツ |
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| Outline of Final Research Achievements |
I have studied how disorders in materials affect the physical phenomenon. In particular, it is proved that the Anderson model, which is supposed to describe the state of an electron in disordered media, can be approximated by the homogeneous model in a certain scaling. Moreover, the scale and nature of the fluctuation caused by random disorder is determined in detail. Aside from this, a polymer model in a disordered solvent is also studied. In the limit of strong disorder, it is shown that the model can be approximated by another natural and simple model.
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Report
(5 results)
Research Products
(32 results)
