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Conditional log-Laplace functional for a class of branching processes in random environments
Authors:Hao Wang
Affiliation:1. Department of Mathematics, The University of Oregon, Eugene, Oregon, 97403-1222, USA
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.
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