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nlin.SI2002
Rational solutions to the Pfaff lattice and Jack polynomials
Mark Adler, Vadim B. Kuznetsov, Pierre van Moerbeke
The finite Pfaff lattice is given by commuting Lax pairs involving a finite matrix L (zero above the first subdiagonal) and a projection onto Sp(N). The lattice admits solutions su…
nlin.SI2000
Darboux transforms on Band Matrices, Weights and associated Polynomials
Mark Adler, Pierre van Moerbeke
Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert probl…