Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases

Hanne Schultz

Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases

Operator Algebras 2007-05-23 v1 Functional Analysis Probability

Authors: Hanne Schultz

Abstract

In their paper, "A new application of random matrices: Ext(C*_red(F_2)) is not a group", Haagerup and Thorbjornsen prove an extension of Voiculescu's random matrix model for independent complex self-adjoint Gaussian random matrices. We generalize their result to random matrices with real or symplectic entries (the GOE- and the GSE-ensembles) and random matrix ensembles related to these.

Keywords

non-commutative polynomials gaussian random matrices goe ensemble gse ensemble voiculescu's random matrix model real entries symplectic entries

Cite

@article{arxiv.math/0308192,
  title  = {Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases},
  author = {Hanne Schultz},
  journal= {arXiv preprint arXiv:math/0308192},
  year   = {2007}
}

Comments

45 pages, no figures

Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases

Abstract

Keywords

Cite

Comments

Related papers