2012 Fiscal Year Final Research Report
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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| Keywords | 代数学 / 解析学 / ランダム行列 / 対称関数 |
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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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