Mesoscopic eigenvalue statistics for correlated random matrices Lee, Jaehun Erdös, László ; https://orcid.org/0000-0001-5366-9603 Central limit theorem universality matrix Dyson equation multi-resolvent local law We prove a mesoscopic central limit theorem for linear eigenvalue statistics of correlated Hermitian random matrices. The class considered here includes Wigner and Wigner-type matrices, as well as models whose entry correlations decay polynomially in the distance between index pairs. The proof combines a multivariate cumulant expansion with multi-resolvent local laws and a detailed analysis of the resulting variance kernel on the operator-level. 2026 info:eu-repo/semantics/preprint doc-type:preprint text http://purl.org/coar/resource_type/c_816b https://research-explorer.ista.ac.at/record/22359 Lee J, Erdös L. Mesoscopic eigenvalue statistics for correlated random matrices. doi:<a href="https://doi.org/10.48550/arXiv.2607.05848">10.48550/arXiv.2607.05848</a> eng info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2607.05848 info:eu-repo/semantics/altIdentifier/arxiv/2607.05848 info:eu-repo/semantics/openAccess