This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

We compute the typical number of equilibria of the generalized Lotka-Volterra equations
describing species-rich ecosystems with random, nonreciprocal interactions using the …

We study a reference model in theoretical ecology, the disordered Lotka-Volterra model for
ecological communities, in the presence of finite demographic noise. Our theoretical …

In this work we study the stability of the equilibria reached by ecosystems formed by a large
number of species. The model we focus on are Lotka–Volterra equations with symmetric …

We consider the generalized Lotka–Volterra system of equations with all-to-all, random
asymmetric interactions describing high-dimensional, very diverse and well-mixed …

The random Lotka-Volterra model is widely used to describe the dynamical and
thermodynamic features of ecological communities. In this work, we consider random …

We analyze the role of the Allee effect, a positive correlation between population density and
mean individual fitness, for ecological communities formed by a large number of species …

The assembly of ecological communities from a pool of species is central to ecology, but the
effect of this process on properties of community interaction networks is still largely …

We investigate the outcome of generalized Lotka-Volterra dynamics of ecological
communities with random interaction coefficients and nonlinear feedback. We show in …

An analytic theory of species abundance patterns (SAPs) in biological networks is
presented. The theory is based on multispecies replicator dynamics equivalent to the Lotka …