3 papers
q-bio.PE2025
Local equations for the generalized Lotka-Volterra model on sparse asymmetric graphs
David Machado, Pietro Valigi, Tommaso Tonolo +1
Real ecosystems are characterized by sparse and asymmetric interactions, posing a major challenge to theoretical analysis. We introduce a new method to study the generalized Lotka-…
cond-mat.stat-mech2025
Generalized Lotka-Volterra model with sparse interactions: non-Gaussian effects and topological multiple-equilibria phase
Tommaso Tonolo, Maria Chiara Angelini, Sandro Azaele +2
We study the equilibrium phases of a generalized Lotka-Volterra model characterized by a species interaction matrix which is random, sparse and symmetric. Dynamical fluctuations ar…
cond-mat.dis-nn2024
Probing marginal stability in the spherical model
Jacopo Niedda, Tommaso Tonolo, Giacomo Gradenigo
In this paper we investigate the marginally stable nature of the low-temperature trivial spin glass phase in the spherical spin glass, by perturbing the system with three dif…