Studies of one dimensional interacting particle systems using the methods of integrable systems.
| Project/Area Number |
19740044
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Chiba University |
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Principal Investigator |
SASAMOTO Tomohiro Chiba University, 大学院・理学研究科, 准教授 (70332640)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,730,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | 確率論 / 無限粒子系 / 可積分系 / ランダム行列 / 揺らぎ |
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| Research Abstract |
We have deepened the understanding of the fluctuation properties of one-dimensional surface growth models. For the polynuclear growth model with flat initial condition, we have identified the fluctuations and discussed its asymptotics. We have also obtained a formula for the fluctuations of the KPZ equation with wedge initial conditions. We have also found a formula of a relation between two time dependent random matrix ensembles.
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Report
(4 results)
Research Products
(45 results)
