2013 Fiscal Year Final Research Report
Study on asymptotic behavior of stochastic interface models
| Project/Area Number |
23740086
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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 | Keio University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Keywords | 確率論 / 統計力学 / 相分離界面 / Gibbs測度 / Gauss過程 |
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| Research Abstract |
In this research, we considered several stochastic models on lattice and studied its asymptotic behavior for the mathematical analysis of phase separating interface and membrane. We first considered Laplacian phi model as a model of membrane and studied its free energy under the effect of two types of external potentials. We also considered a Gaussian process which appears in the time evolution of gradient phi interface model and obtained estimates on its persistence probability.
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