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math.GR2026
On the growth spectrum of hyperbolic groups
Rémi Coulon, Michail Louvaris, Daniel T. Wise +1
We study the growth spectrum of groups acting on hyperbolic spaces, i.e.\ the set of exponential growth rates achieved by subgroups. For a finitely generated free group or a surfac…
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…