Jüergen Jost (Max Planck Institute for Mathematics in the Sciences; SFI External Professor)
Abstract. Levels of a complex system are characterized by the fact that they admit a closed functional description I shall consider dynamical systems where the different levels are linked by a coarse-graining of variables and states of the system, and I shall develop information theoretical concepts to specify and quantify that closedness. These considerations can be applied to both deterministic and stochastic processes. These concept are not only of conceptual relevance, but also sufficiently quantitative to study concrete examples like the symbolic dynamics induced by a threshold in a unimodular dynamical system. This will also provide us with examples for the relation between predictability, chaos, and randomness.