Probability theory on algebraic and geometric structures such as e.g. topological groups has attracted much interest in the literature during the past decades and is a subject of growing importance. Stimuli which can not be overestimated for the research work which has and is currently been done in the field of probability theory on groups and related structures are the regular Oberwolfach conferences organized by L. Schmetterer,
H. Heyer, and A. Mukherjea as well as the recent foundation of the "Journal of Theoretical Probability" also by A. Mukherjea.