Matrix Integrals, Symmetric Functions theory and matrix integrals
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We consider certain scalar product of symmetric functions which is parameterized by a function and an integer . 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).
Cite
@article{arxiv.nlin/0207030,
title = {Matrix Integrals, Symmetric Functions theory and matrix integrals},
author = {A. Yu. Orlov},
journal= {arXiv preprint arXiv:nlin/0207030},
year = {2007}
}
Comments
Latex, 59 pages, no figures