117 citations · 646 across the 47 of their papers we have counts for
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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★ 5 cited
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…
nlin.SI2000★ 65 cited
Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems
Mark Adler, Pierre van Moerbeke
Classically, a single weight on an interval of the real line leads to moments, orthogonal polynomials and tridiagonal matrices. Appropriately deforming this weight with times t=(t_…