Corpus ID: 220961429

Rate of convergence at the hard edge for various P\'olya ensembles of positive definite matrices.

@article{Forrester2020RateOC,
  title={Rate of convergence at the hard edge for various P\'olya ensembles of positive definite matrices.},
  author={P. Forrester and Shihao Li},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
The theory of Polya ensembles of positive definite random matrices provides structural formulas for the corresponding biorthogonal pair, and correlation kernel, which are well suited to computing the hard edge large $N$ asymptotics. Such an analysis is carried out for products of Laguerre ensembles, the Laguerre Muttalib-Borodin ensemble, and products of Laguerre ensembles and their inverses. The latter includes as a special case the Jacobi unitary ensemble. In each case the hard edge scaled… Expand
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References

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