The topic of dynamical systems in spaces of measures is gaining interest
over the last couple of years. In the lecture we will provide examples and
motivation for considering such a framework. One is purely deterministic:
originating from crowd dynamics and the analysis of the behavior of
interacting particle systems. Another is concerned with systems in which
deterministic behavior is alternated randomly with random interventions.
The latter type of problems are motivated by the modeling of particular
biological processes, e.g. gene expression. In the analysis of the
resulting models in spaces of measures one encounters new interesting
mathematical issues. Some of these will be discussed in the lecture.