| Project/Area Number |
16H07041
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Osaka University (2017)
Kyushu University (2016) |
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Principal Investigator |
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| Project Period (FY) |
2016-08-26 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 確率論 / 流体力学極限 / 大偏差原理 / スケール極限 / 粒子系 / 大規模相互作用系 / 非平衡定常状態 / 解析学 / 反応拡散方程式 |
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| Outline of Final Research Achievements |
Based on techniques of the large deviation principle for hydrodynamic limit, I studied stationary non-equilibrium states. The purpose of this study is to analyze stationary states for particle systems by showing the large deviation principle for the stationary state of exclusion processes with creation and annihilation of particles. Consequently, I proved the large deviation principle for the scaling limit related to density of particles. Using this result, I also proved the large deviation principle for the stationary state. As a consequence of the static large deviation principle, I also obtained the law of large numbers for the stationary state.
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