Recent Results for Supercritical Controlled Branching Processes with Control Random Functions

2000 Mathematics Subject Classification: 60J80, 60F05

In this paper we are concerned with the controlled branching processes with random control function. Recently, we have considered them under the condition of asymptotically linear growth of the mathematical expectations associated to the random control variables. We present a review of the main results obtained until now, mainly, in the supercritical case.

Research supported by the Ministerio de Ciencia y Tecnologi a and the FEDER through the Plan Nacional de Investigacion Cientifi ca, Desarrollo e Innovaci on Tecnologica, grant BFM2003-06074.