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Biological systems are composed of many interacting components --- in ecological communities, populations of different species. Though the first models for interacting populations date to almost a century ago, the role of species interactions in regulating the response to perturbations, and in shaping community composition, is yet not well understood. Models for ecological communities have so far concentrated on small systems. Using random matrix techniques, I will show how the properties of the interaction networks influence the stability of ecologicalc ommunities and the persistence of the populations. Host: Francesco Caravelli |