The Polarization of Linear Controlled Branching Process in Random Environment
Dihe Hu · Wuhan University Journal · 2004
The definition of linear controlled branching process in random environment is introduced, and the relations of all kinds of generating functions are studied. The original generating function is used to show the others exactly. We use the method of graph theory to introduce the following definitions: random root tree, random root tree in random environment, and the controlled random root tree in random environment.Base on these, we prove the polarization of linear controlled branching process in random environment.