117 citations · 646 across the 47 of their papers we have counts for
4 papers · 1 filter
Toda-Darboux maps and vertex operators
M. Adler, P. van Moerbeke
The purpose of this paper is to study Toda-Darboux transforms, i.e., Darboux transforms for operators L(t) flowing according to the Toda lattice. Each element of the null-space $L(…
The solution to the q-KdV equation
M. Adler, E. Horozov, P. van Moerbeke
Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this paper is to show that any KdV solution leads effectively to a solution of the q-approxim…
Matrix Integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials
Mark Adler, Pierre van Moerbeke
The relationship is made between matrix integrals, Toda master-symmetries, Virasoro constraints and orthogonal polynomials.
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-…