2016 Fiscal Year Final Research Report
stochastic evolutions in random environment and their phase transition
| Project/Area Number |
25400136
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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 |
Basic analysis
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| Research Institution | Nagoya University |
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Principal Investigator |
Yoshida Nobuo 名古屋大学, 多元数理科学研究科, 教授 (40240303)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | ランダム環境 |
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| Outline of Final Research Achievements |
We considered the Brownian directed polymers in Poisson environment and invesigated the free energy at zero-temperature. The quantity of interest is the logarithm of the survival probability. However this quantity is not integrable at zero-temperature and classical methods like sub-additive ergodic theorem
are not applicable. To overcome this difficulty, we investigated various new approaches.
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| Free Research Field |
確率論
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