Conditional Log-Laplace Functional for a Class of Branching Processes in Random Environments  

作　　者：Hao WANG 

机构地区：[1]Department of Mathematics, The University of Oregon,Eugene,Oregon 97403-1222, U.S.A.

出　　处：《Acta Mathematica Sinica,English Series》2015年第1期71-90,共20页数学学报（英文版）

摘　　要：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.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.

关 键 词：Interacting superprocess conditional log-Laplace functional branching process in random environment Wong-Zakai approximation DUALITY 

分 类 号：O211.6[理学—概率论与数理统计]