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cond-mat.dis-nn2023
Curvature-driven pathways interpolating between stationary points: the case of the pure spherical 3-spin model
Alessandro Pacco, Giulio Biroli, Valentina Ros
This paper focuses on characterizing the energy profile along pathways connecting different regions of configuration space in the context of a prototypical glass model, the pure sp…
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…