---
res:
  bibo_abstract:
  - We establish universal Gaussian fluctuations for the mesoscopic linear eigenvalue
    statistics in the vicinity of the cusp-like singularities of the limiting spectral
    density for Wigner-type random matrices. Prior to this work, the linear eigenvalue
    statistics at the cusp-like singularities were not studied in any ensemble. Our
    analysis covers not only the exact cusps but the entire transitionary regime from
    the square-root singularity at a regular edge through the sharp cusp to the bulk.
    We identify a new one-parameter family of functionals that govern the limiting
    bias and variance, continuously interpolating between the previously known formulas
    in the bulk and at a regular edge. Since cusps are the only possible singularities
    besides the regular edges, our result gives a complete description of the linear
    eigenvalue statistics in all regimes.@eng
  bibo_authorlist:
  - 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: 10.1007/s00440-025-01373-w
  bibo_volume: 193
  dct_date: 2025^xs_gYear
  dct_identifier:
  - UT:001466997300001
  dct_isPartOf:
  - http://id.crossref.org/issn/0178-8051
  - http://id.crossref.org/issn/1432-2064
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Linear Eigenvalue statistics at the cusp@
...