5 papers
A simple regulatory architecture allows learning the statistical structure of a changing environment
Stefan Landmann, Caroline M. Holmes, Mikhail Tikhonov
Bacteria live in environments that are continuously fluctuating and changing. Exploiting any predictability of such fluctuations can lead to an increased fitness. On longer timesca…
Self-organized criticality in neural networks from activity-based rewiring
Stefan Landmann, Lorenz Baumgarten, Stefan Bornholdt
Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach…
Large systems of random linear equations with non-negative solutions: Characterizing the solvable and unsolvable phase
Stefan Landmann, Andreas Engel
Large systems of linear equations are ubiquitous in science. Quite often, e.g. when considering population dynamics or chemical networks, the solutions must be non-negative. Recent…
On non-negative solutions to large systems of random linear equations
Stefan Landmann, Andreas Engel
Systems of random linear equations may or may not have solutions with all components being non-negative. The question is, e.g., of relevance when the unknowns are concentrations or…
Systems of random linear equations and the phase transition in MacArthur's resource-competition model
Stefan Landmann, Andreas Engel
Complex ecosystems generally consist of a large number of different species utilizing a large number of different resources. Several of their features cannot be captured by models…