Sho Matsumoto

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20032008

most citedMoments of characteristic polynomials for compact symmetric spaces and Jack polynomials

17 citations · 31 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.CO2008★ 1 cited

Jack deformations of Plancherel measures and traceless Gaussian random matrices

Sho Matsumoto

We study random partitions $λ = (λ_{1}, λ_{2}, ..., λ_{d})$ of $n$ whose length is not bigger than a fixed number $d$ . Suppose a random partition $λ$ is distributed according to the Jack meas…

math.CO2006

Hyperdeterminantal expressions for Jack functions of rectangular shapes

Sho Matsumoto

We derive a Jacobi-Trudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley's simple generalization of the d…

math.CO2004★ 3 cited

Alpha-Pfaffian, pfaffian point process and shifted Schur measure

Sho Matsumoto

For any complex number $α$ and any even-size skew-symmetric matrix $B$ , we define a generalization $\pfaα(B)$ of the pfaffian $\pf(B)$ which we call the $α$ -pfaffian. The $α$ -pfaff…

math.CO2003★ 4 cited

Correlation functions of the shifted Schur measure

Sho Matsumoto

The shifted Schur measure introduced by Tracy and Widom is a measure on the set of all strict partitions, which is defined by Schur $Q$ -functions. The main aim of this paper is to…