Some aspects of the weighted branching process

Uwe Rösler

Mathematisches Seminar, Christian-Albrechts-Universität Kiel, Germany

Abstract

A weighted braching process is a branching process with a additional weight multiplicative weight of the individuals living on a tree. We intend to give a survey concerning different aspects of the weighted branching process and some results in the main applications. The topics include the backward and forward views, the analysis of stochastic divide and conquer algorithms, the connection to distributional recursive equations and the distributional fixed point equations