Dynamical typicality in many-body quantum systems

Dynamical typicality refers to the property that two pure states, which initially exhibit (almost) the same expectation value for some given observable, are very likely to exhibit also very similar expectation values when evolving in time according to the pertinent Schrödinger equation. At the focus of this talk are the preconditions for the occurrence of such effects in many-body systems, and the implications for instance concerning the issue of thermalization.