3 papers
cond-mat.dis-nn2025
Non-reciprocal interactions and high-dimensional chaos: comparing dynamics and statistics of equilibria in a solvable class of models
Samantha J. Fournier, Alessandro Pacco, Valentina Ros +1
We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the…
cond-mat.dis-nn2025
Exploring high-dimensional random landscapes: from spin glasses to random matrices, passing through simple chaotic systems
Alessandro Pacco
High-dimensional random landscapes underlie phenomena as diverse as glassy physics and optimization in machine learning, and even their simplest toy models already display extraord…
cond-mat.dis-nn2025
Triplets of local minima in a high-dimensional random landscape: Correlations, clustering, and memoryless activated jumps
Alessandro Pacco, Alberto Rosso, Valentina Ros
We compute the distribution of triplets of stationary points in the energy landscape of the spherical p-spin model, by evaluating the quenched three-point complexity by means of th…