Ecosystems represent archetypal complex dynamical systems, often modelled by coupled
differential equations of the form dxidt= xi ϕ i (x 1,…, x N), where N represents the number of …

A central assumption in most ecological models is that the interactions in a community
operate only between pairs of species. However, two species may interactively affect the …

The study of ecological communities often involves detailed simulations of complex
networks. However, our empirical knowledge of these networks is typically incomplete and …

The eigenvalue spectrum of a random matrix often only depends on the first and second
moments of its elements, but not on the specific distribution from which they are drawn. The …

We study rough high-dimensional landscapes in which an increasingly stronger preference
for a given configuration emerges. Such energy landscapes arise in glass physics and …

A central concern of community ecology is the interdependence between interaction
strengths and the underlying structure of the network upon which species interact. In this …

Dynamical mean field theory (DMFT) is a tool that allows one to analyze the stochastic
dynamics of N interacting degrees of freedom in terms of a self-consistent 1-body problem …

Organisms shape their own environment, which in turn affects their survival. This feedback
becomes especially important for communities containing a large number of species; …

Will a large economy be stable? Building on Robert May's original argument for large
ecosystems, we conjecture that evolutionary and behavioural forces conspire to drive the …

Microbiome engineering offers the potential to leverage microbial communities to improve
outcomes in human health, agriculture, and climate. To translate this potential into reality, it …