Random Matrices with Equispaced External Source

@article{Claeys2012RandomMW,
  title={Random Matrices with Equispaced External Source},
  author={Tom Claeys and Dong Wang},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={328},
  pages={1023-1077}
}
  • T. Claeys, Dong Wang
  • Published 16 December 2012
  • Mathematics
  • Communications in Mathematical Physics
We study Hermitian random matrix models with an external source matrix which has equispaced eigenvalues, and with an external field such that the limiting mean density of eigenvalues is supported on a single interval as the dimension tends to infinity. We obtain strong asymptotics for the multiple orthogonal polynomials associated to these models, and as a consequence for the average characteristic polynomials. One feature of the multiple orthogonal polynomials analyzed in this paper is that… 
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