LAPLACE'S equation, FUNCTIONAL analysis, BRANCHING processes, SET theory, MATHEMATICAL decomposition, APPROXIMATION theory
Abstract
A conditional log-Laplace functional (CLLF) for a class of branching processes in random environments is derived. The basic idea is the decomposition of a dependent branching dynamic into a no-interacting branching and an interacting dynamic generated by the random environments. CLLF will play an important role in the investigation of branching processes and superprocesses with interaction. [ABSTRACT FROM AUTHOR]