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math.PR2026
A note on outlier eigenvectors for sparse non-Hermitian perturbations
Miltiadis Galanis, Michail Louvaris
We consider a sparse i.i.d.\ non-Hermitian random matrix model (with sparsity parameter ) and a deterministic finite-rank perturbation . Assuming biorthogonality fo…
math.PR2026
Extreme eigenvalues and eigenvectors for finite rank additive deformations of non-hermitian sparse random matrices
Walid Hachem, Michail Louvaris, Jamal Najim
Consider a sparse non-Hermitian random matrix defined as the Hadamard product between a random matrix with centered independent and identically distributed entrie…