117 citations · 646 across the 47 of their papers we have counts for
4 papers · 1 filter
The spectrum of coupled random matrices
Mark Adler, Pierre van Moerbeke
The study of the spectrum of coupled random matrices has received rather little attention. To the best of our knowledge, coupled random matrices have been studied, to some extent,…
String-Orthogonal Polynomials, String equations, and 2-Toda symmetries
Mark Adler, Pierre van Moerbeke
1. The 2-Toda lattice and its generic symmetries 2. A Larger class of symmetries for special initial conditions 3. Borel decomposition of Moment matrices, tau-functions and string-…
A Matrix Integral Solution to [P,Q]=P and Matrix Laplace Transforms
M. Adler, A. Morozov, T. Shiota +1
In this paper we solve the following problems: (i) find two differential operators P and Q satisfying [P,Q]=P, where P flows according to the KP hierarchy \partial P/\partial t_n =…
New matrix model solutions to the Kac-Schwarz problem
M. Adler, A. Morozov, T. Shiota +1
We examine the Kac-Schwarz problem of specification of point in Grassmannian in the restricted case of gap-one first-order differential Kac-Schwarz operators. While the pair of con…