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- W2949414515 abstract "Consider the evolution $$ frac{pl m_iy}{pl t_n}=Lb^n m_iy, frac{pl m_iy}{pl s_n}=-m_iy(Lb^top)^n, $$ on bi- or semi-infinite matrices $m_iy=m_iy(t,s)$, with skew-symmetric initial data $m_{iy}(0,0)$. Then, $m_iy(t,-t)$ is skew-symmetric, and so the determinants of the successive upper-left corners vanish or are squares of Pfaffians. In this paper, we investigate the rich nature of these Pfaffians, as functions of t. This problem is motivated by questions concerning the spectrum of symmetric and symplectic random matrix ensembles." @default.
- W2949414515 created "2019-06-27" @default.
- W2949414515 creator A5046754172 @default.
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- W2949414515 date "1999-09-15" @default.
- W2949414515 modified "2023-09-23" @default.
- W2949414515 title "Pfaff tau-functions" @default.
- W2949414515 cites W2020787452 @default.
- W2949414515 hasPublicationYear "1999" @default.
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