Cover illustration: A Gaussian process model of the lateral acceleration experienced by a car driving around the Nürburgring, Germany. The acceleration profile is illustrated for a part of the track, specifically Kallenhard-Wehrseifen-Ex-Mühle. Title: A play on words relating to the theme of the thesis. Dynamic -the thesis studies dynamical systems; Evolution -dynamical systems evolve over time and the contributions are an evolution of the research field itself; rE(volution) -iterated algorithms are at the core of parts of the contributions.Linköping studies in science and technology. Dissertations.No. 2391