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Matrix Integrals, Symmetric Functions theory and matrix integrals

可精确求解与可积系统 2007-05-23 v1

摘要

We consider certain scalar product of symmetric functions which is parameterized by a function rr and an integer nn. 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).

关键词

引用

@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}
}

备注

Latex, 59 pages, no figures