Cusp universality for random matrices, II: The real symmetric case

@article{Cipolloni2018CuspUF,
  title={Cusp universality for random matrices, II: The real symmetric case},
  author={Giorgio Cipolloni and L'aszl'o ErdHos and Torben Kruger and Dominik Schr{\"o}der},
  journal={Pure and Applied Analysis},
  year={2018}
}
We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal. Together with the companion paper [arXiv:1809.03971], which proves the same result for the complex Hermitian symmetry class, this completes the last remaining case of the Wigner-Dyson-Mehta universality conjecture after bulk and edge universalities have been established in the last years. We extend the recent Dyson Brownian motion analysis at the… 

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