117 citations · 646 across the 47 of their papers we have counts for
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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_…
math-ph2000
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum
Mark Adler, Pierre van Moerbeke
Given the Hermitian, symmetric and symplectic ensembles, it is shown that the probability that the spectrum belongs to one or several intervals satisfies a nonlinear PDE. This is d…