Stein Andreas Bethuelsen: Random walks in (dynamic) random environment

The classical random walk model is a central object within probability theory, mathematics and science in general. Random walks in random environment is a natural generalisation of this model where the random walk interacts with a second process (the environment). Motivation for such models comes from problems in biology, chemistry and physics. An example is the study of transport processes, for example propagation of heat or diffusion of matter through a medium with irregularities. From a mathematical viewpoint, such models exhibit new and surprising phenomena and open up for many interesting questions. In this talk, I will give a brief introduction to this fascinating field and guide you through some of the main questions and challenges. If time permits, I will also discuss some recent work in progress made for random walks in dynamically evolving environments, based on joint work with Florian Völlering (TU Berlin).