Office of Scientific and International Cooperation

Abstract: Heuristically, there is a strong relationship between continuous-state branching (CB) processes and coalescents. However, explicitly providing it, is a problem that has a long history. We shall see some known results of this relationship and construct, under certain conditions an explicit homeomorphism between the two families of processes using our previous results on the asymmetric frequency process.

Based on joint work with professors Adrian González and Jose Luis Pérez.