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The AKS theorem, A.C.I. systems and random matrix theory

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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… Click to show full abstract

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.

Keywords: theorem systems; random matrix; systems random; matrix theory; aks theorem

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2018

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