Central limit theorems for a branching random walk with a random environment in time
نویسندگان
چکیده
We consider a branching random walk with a random environment in time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The environment is supposed to be stationary and ergodic. For A ⊂ R , let Zn(A) be the number of particles of generation n located in A. We show central limit theorems for the counting measure Zn(·) with appropriate normalization. 2000 Mathematics Subject Classification. 60J10, 60F05, 60J80.
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تاریخ انتشار 2017