Conditional log-Laplace functional for a class of branching processes in random environments

Authors
Wang, Hao
Citation
Wang, Hao, Conditional log-Laplace functional for a class of branching processes in random environments, Acta mathematica Sinica. English series (Print) , 31(1), 2015, pp. 71-90
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
1
Year of publication
2015
Pages
71 - 90
Database
ACNP
SICI code
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.