stochastic evolutions in random environment and their phase transition
Project/Area Number |
25400136
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Nagoya University |
Principal Investigator |
Yoshida Nobuo 名古屋大学, 多元数理科学研究科, 教授 (40240303)
|
Project Period (FY) |
2013-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | ランダム環境 / ランダム媒質 / 確率成長 / 生存確率 / 零温度極限 / directed polymer / random environment |
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.
|
Report
(5 results)
Research Products
(5 results)