Mark Adler, Pierre van Moerbeke
Published 2018-10-07Version 1
This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic completely integrable (a.c.i.) systems, and the latter examples in random matrix theory.
Comments: Topical Review (special volume 50 years Toda Lattice)
Journal: Journal of Physics A: mathematical and theoretical 51 (2018) 423001 (47pp)
Universality of the Distribution Functions of Random Matrix Theory. II
First Colonization of a Spectral Outpost in Random Matrix Theory
The correspondence between Tracy-Widom (TW) and Adler-Shiota-van Moerbeke (ASvM) approaches in random matrix theory: the Gaussian case
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