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...
In molecular dynamics, transitions between conformations are rare events, posing significant challenges for sampling. Enhanced sampling methods, such as the extended Adapted Biasing Force (eABF), utilize collective variables (CVs) to capture the slow components of these transitions. While intuitive selection of CVs can sometimes be effective, it often fails to capture critical transitions....
