4 citations · 13 across the 4 of their papers we have counts for
4 papers
Alpha-determinant cyclic modules of
Sho Matsumoto, Masato Wakayama
The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of defined by…
Alpha-Pfaffian, pfaffian point process and shifted Schur measure
Sho Matsumoto
For any complex number and any even-size skew-symmetric matrix , we define a generalization $\pfaα(B)$ of the pfaffian $\pf(B)$ which we call the -pfaffian. The -pfaff…
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 -functions. The main aim of this paper is to…
A Scaling Limit for t-Schur Measures
Sho Matsumoto
We introduce a generalization of the Schur measure. And we give a combinatorial interpretation to this generalized measure and prove that a scaling limit for this measure is given…