---
res:
  bibo_abstract:
  - We study the joint spectral properties of two coupled random matrices H(1) and
    H(2), which are either real symmetric or complex Hermitian. The entries of these
    matrices exhibit polynomially decaying correlations, both within each matrix and
    between them. Surprisingly, we find that under extremely weak decorrelation condition,
    permitting H(1) and H(2) to be almost fully correlated, the fluctuations of their
    individual eigenvalues in the bulk of the spectrum are still asymptotically independent.
    Furthermore, we demonstrate that this decorrelation condition is optimal.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Oleksii
      foaf_name: Kolupaiev, Oleksii
      foaf_surname: Kolupaiev
      foaf_workInfoHomepage: http://www.librecat.org/personId=149b70d4-896a-11ed-bdf8-8c63fd44ca61
    orcid: 0000-0003-1491-4623
  bibo_doi: 10.3150/26-bej1976
  bibo_issue: '4'
  bibo_volume: 32
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1350-7265
  dct_language: eng
  dct_publisher: Bernoulli Society for Mathematical Statistics and Probability@
  dct_subject:
  - correlated random matrix
  - eigenvalue perturbation theory
  - Local law
  - Wigner-type matrix
  dct_title: Spectral independence of almost fully correlated random matrices@
...