Abstract: The concept of a quasi-process stems from probabilistic potential
theory. Although the notion may not be that familiar nowadays, it is
connected to various current developments in probability. For instance,
interlacements as introduced by Sznitman are Poisson point processes
with the intensity measure being a quasi-process. Furthermore,
extensions of Markov families as recently derived for certain
self-similar Markov processes are closely related to quasi-processes and
entrance boundaries.

In this talk we start with a basic introduction of parts of classical
potential theory and then focus on branching Markov chains. The main
result will be a spine construction of a branching quasi-process.

The talk is based on joint work with Martin Maiwald (WWU Münster).