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Snake representation of a superprocess in random environment. (English) Zbl 1276.60126

Summary: We consider (discrete time) branching particles in a random environment which is i.i.d. in time and possibly spatially correlated. We prove a representation of the limit process by means of a Brownian snake in random environment.

MSC:

60K37 Processes in random environments
60G60 Random fields
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)