Symmetric function theory and unitary invariant ensembles

@article{Jonnadula2020SymmetricFT,
  title={Symmetric function theory and unitary invariant ensembles},
  author={Bhargavi Jonnadula and Jonathan P. Keating and Francesco Mezzadri},
  journal={Journal of Mathematical Physics},
  year={2020}
}
Representation theory and the theory of symmetric functions have played a central role in Random Matrix Theory in the computation of quantities such as joint moments of traces and joint moments of characteristic polynomials of matrices drawn from the Circular Unitary Ensemble and other Circular Ensembles related to the classical compact groups. The reason is that they enable the derivation of exact formulae, which then provide a route to calculating the large-matrix asymptotics of these… 

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