Computational Dynamics

This workshop will bring together mathematicians working on computational dynamics, spanning a wide range from computability theory to data driven modelling. The workshop will ask questions when and how dynamical systems can be used to perform computation in the sense of Turing machines, including undecidability. Recent advances have shown that fluid flows can in principle be used to perform computations, implying that their future dynamics will be unpredictable. A probabilistic approach to dynamical systems which aims at understanding its statistical properties rather than the exact evolution of a single trajectory, offers an alternative to overcome the predictability barrier of certain dynamical systems. Set-oriented methods allow for the characterization of global statistical properties and detection of coherence in the flow, when the dynamical system is accessible only through some partial observations. The convergence properties of these methods have only recently been explored, giving rise to improved algorithms.