Speaker
Mohammed-Younes Gueddari
(LIGM)
Description
We study the stability of large ecosystems by modeling species interactions with random matrices within the Lotka–Volterra framework. Since real interaction data are difficult and costly to collect, we adopt a probabilistic approach.
I will introduce key concepts from Random Matrix Theory to analyze the typical behaviour of ecological equilibria. Unlike classical spectral questions, our focus lies on a nonlinear property of the random matrix. To study it, we use Approximate Message Passing, a tool from high-dimensional statistics.