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Soliton Theory, Symmetric Functions and Matrix Integrals

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Abstract

We consider a certain scalar product of symmetric functions which is parameterized by a function r and an integer n. On the one hand we have a fermionic representation of this scalar product. On the other hand we get a representation of this product with the help of multi-integrals. This gives links between a theory of symmetric functions, soliton theory and models of random matrices (such as a model of normal matrices).

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  1. Oceanology Institute, Nakhimovskii prospekt 36, Moscow, Russia

    A. Yu. Orlov

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  1. A. Yu. Orlov
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Orlov, A.Y. Soliton Theory, Symmetric Functions and Matrix Integrals. Acta Appl Math 86, 131–158 (2005). https://doi.org/10.1007/s10440-005-0467-z

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