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math.PR2026
The Generalized Friendship Paradox for Eigenvectors
Bishakh Bhattacharya, Arijit Chakrabarty, Rajat Subhra Hazra
In this paper, we investigate the generalized friendship paradox for eigenvectors (alternatively called the eigen friendship paradox and abbreviated hereafter as EFP) in the settin…
math.PR2026
Outlier eigenvalues and eigenvectors of generalized Wigner matrices with finite-rank perturbations
Bishakh Bhattacharya, Arijit Chakrabarty, Rajat Subhra Hazra
A generalized Wigner matrix perturbed by a finite-rank deterministic matrix is considered. The fluctuations of the largest eigenvalues, which emerge outside the bulk of the spectru…
math.PR2024
Largest eigenvalue of positive mean Gaussian matrices
Arijit Chakrabarty, Rajat Subhra Hazra, Moumanti Podder
This short note studies the fluctuations of the largest eigenvalue of symmetric random matrices with correlated Gaussian entries having positive mean. Under the assumption that the…