Probability on Matrix-Cone Hypergroups

Abstract

Recent investigations of M. Rösler [13] and M. Voit [16] provide examples of hypergroups with properties similar to the group- or vector space case and with a sufficiently rich structure of automorphisms, providing thus tools to investigate the theory limits of normalized random walks and the structure of the corresponding limit laws. The investigations are parallel to corresponding investigations for vector spaces and simply connected nilpotent Lie groups.