Alpha-Pfaffian, pfaffian point process and shifted Schur measure
| dc.creator | Matsumoto, Sho | |
| dc.date | 2004-11-12 | |
| dc.date | 2005-02-15 | |
| dc.date.accessioned | 2026-07-07T05:14:15Z | |
| dc.date.available | 2026-07-07T05:14:15Z | |
| dc.description | 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 $α$-pfaffian is a pfaffian analogue of the $α$-determinant. It gives the pfaffian at $α=-1$. We give some formulas for $α$-pfaffians and study the positivity. Further we define point processes determined by the $α$-pfaffian. Also we provide a linear algebraic proof of the explicit pfaffian expression for the correlation function of the shifted Schur measure. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411277 | |
| dc.identifier | http://arxiv.org/abs/math/0411277 | |
| dc.identifier | Linear Algebra and its Applications 403 (2005) 369--398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73207 | |
| dc.subject | Combinatorics | |
| dc.subject | Probability | |
| dc.subject | 15A15; 05E05 | |
| dc.title | Alpha-Pfaffian, pfaffian point process and shifted Schur measure | |
| dc.type | text |