4 papers
Fragile robust Multiple Equilibria phases in generalized Lotka-Volterra model with non-reciprocal interactions
Thomas Louis-Sarrola, Valentina Ros
We investigate the Multiple Equilibria phase of generalized Lotka-Volterra dynamics with random, non-reciprocal interactions. We compute the topological complexity of equilibria, w…
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…
High-dimensional random landscapes: from typical to large deviations
Valentina Ros
In these notes we discuss tools and concepts that emerge when studying high-dimensional random landscapes, i.e., random functions on high-dimensional spaces. As an illustrative exa…
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…