63 citations · 66 across the 4 of their papers we have counts for
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solv-int1999
The Pfaff lattice, Matrix integrals and a map from Toda to Pfaff
M. Adler, P. van Moerbeke
We study the Pfaff lattice, introduced by us in the context of a Lie algebra splitting of gl(infinity) into sp(infinity) and lower-triangular matrices. We establish a set of biline…
math.CO1999
Integrals over classical Groups, Random permutations, Toda and Toeplitz lattices
Mark Adler, Pierre van Moerbeke
Matrix Fourier-like integrals over the classical groups O_+(n), O_-(n), Sp(n) and U(n) are connected with the distribution of the length of the longest increasing sequence in rando…
solv-int1999
The Pfaff lattice and skew-orthogonal polynomials
M. Adler, E. Horozov, P. van Moerbeke
Consider a semi-infinite skew-symmetric moment matrix, $m_{\iy}$ evolving according to the vector fields $\pl m / \pl t_k=\Lb^k m+m \Lb^{\top k} ,$ where $\Lb$ is the shift matrix.…