---
res:
  bibo_abstract:
  - "For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat
    the local eigenvalue statistics at any cusp singularity are universal.\r\nSince
    the density of states typically exhibits only square root edge or cubic\r\nroot
    cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta
    universality conjecture in all spectral regimes for a very\r\ngeneral class of
    random matrices. Previously only the bulk and the edge\r\nuniversality were established
    in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only
    for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055].
    As our main technical input, we prove an\r\noptimal local law at the cusp using
    the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and
    a Green function comparison argument.\r\nMoreover, our proof of the optimal local
    law holds uniformly in the spectrum,\r\nthus also re-establishing universality
    of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661]
    and edge [arXiv:1804.07744]\r\nregimes.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: László
      foaf_name: Erdös, László
      foaf_surname: Erdös
      foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5366-9603
  - foaf_Person:
      foaf_givenName: Sven Joscha
      foaf_name: Henheik, Sven Joscha
      foaf_surname: Henheik
      foaf_workInfoHomepage: http://www.librecat.org/personId=31d731d7-d235-11ea-ad11-b50331c8d7fb
    orcid: 0000-0003-1106-327X
  - foaf_Person:
      foaf_givenName: Volodymyr
      foaf_name: Riabov, Volodymyr
      foaf_surname: Riabov
      foaf_workInfoHomepage: http://www.librecat.org/personId=1949f904-edfb-11eb-afb5-e2dfddabb93b
  bibo_doi: 10.48550/arXiv.2410.06813
  dct_date: 2024^xs_gYear
  dct_language: eng
  dct_title: Cusp universality for correlated random matrices@
...