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cond-mat.dis-nn2023★ 17 cited
Quenched complexity of equilibria for asymmetric Generalized Lotka-Volterra equations
Valentina Ros, Felix Roy, Giulio Biroli +1
We consider the Generalized Lotka-Volterra system of equations with all-to-all, random asymmetric interactions describing high-dimensional, very diverse and well-mixed ecosystems.…
cond-mat.dis-nn2023
Overlaps between eigenvectors of spiked, correlated random matrices: from matrix PCA to random Gaussian landscapes
Alessandro Pacco, Valentina Ros
We consider pairs of GOE (Gaussian Orthogonal Ensemble) matrices which are correlated with each others, and subject to additive and multiplicative rank-one perturbations. We focus…