Publications (5)
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.…
Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise
Ada Altieri, Felix Roy, Chiara Cammarota +1
In this letter we study a reference model in theoretical ecology, the disordered Lotka-Volterra model for ecological communities, in the presence of finite demographic noise. Our t…
Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
Valentina Ros, Felix Roy, Giulio Biroli +2
We compute the typical number of equilibria of the Generalized Lotka-Volterra equations describing species-rich ecosystems with random, non-reciprocal interactions using the replic…
Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka-Volterra model of ecosystems
Felix Roy, Giulio Biroli, Guy Bunin +1
Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of interacting degrees of freedom in terms of a self-consistent -body problem. In…
Can endogenous fluctuations persist in high-diversity ecosystems?
Felix Roy, Matthieu Barbier, Giulio Biroli +1
When can complex ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where species abundances keep fluctuating without going to extinction? W…