2015 Fiscal Year Final Research Report
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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| Keywords | 不規則媒質 / 確率過程 / 均質化 |
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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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| Free Research Field |
確率論
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