Branching processes in Levy processes: Laplace functionals of snakes and superprocesses
成果类型：
Article
署名作者：
Le Gall, JF; Le Jan, Y
署名单位：
Universite PSL; Ecole Normale Superieure (ENS); Universite Paris Saclay
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1998
页码：
1407-1432
关键词：
摘要：
We use the exploration process introduced in a previous work to develop a new construction of superprocesses with a general branching mechanism. This construction depends on a path-valued process called the Levy snake, which is of independent interest. Our method of proof involves a calculation of the Laplace functional of the occupation field of the Levy snake. This calculation relies on an evaluation of the corresponding moment functionals, which requires precise information about the underlying genealogical structure.