On averages for symmetric functions under Plancherel probability measures
| Project/Area Number |
22740060
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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 | Nagoya University |
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Principal Investigator |
MATSUMOTO Sho 名古屋大学, 多元数理科学研究科, 助教 (60547553)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 代数学 / 解析学 / ランダム行列 / 対称関数 / 確率論 / 対称群 / 行列積分 / 組合せ論 / 関数解析 |
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| Research Abstract |
The theme of our research is to study about connections between Plancherel measures on Young diagrams and random matrix theory. We have established the method for computations of averages of matrix entries, which are derived from random unitary matrices, random orthogonal matrices, inverse of real Wishart matrices, COE matrices, and so on. Moreover, we have given some combinatorial and representation-theoretic interpretations for them via Plancherel measures.
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Report
(4 results)
Research Products
(34 results)
