Critical Controlled Branching Processes and Their Relatives

[Yanev George P.; Янев Георги П.]This survey aims at collecting and presenting results for one-type, discrete time branching processes with random control functions. In particular, the subclass of critical migration processes with different regimes of immigration and emigration is reviewed in detail. Critical controlled branching processes with continuous state space are also discussed. 2010 Mathematics Subject Classification: 60J80