Matrix Integrals, Symmetric Functions theory and matrix integrals

2002/07/17 by A. Yu. Orlov, Orlov, A. Yu.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0207030

Latex, 59 pages, no figures

arxiv created 2002/07/17 · openalex publication_date 2002/07/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider certain scalar product of symmetric functions which is parameterized by a function r and an integer n. One 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).

Citations

• Integrable Hierarchies and Dispersionless Limit

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