scholarly journals Absolute continuity of Poisson random fields

Author(s):  
Yōichirō Takahashi
2016 ◽  
Vol 10 (2) ◽  
pp. 726-755 ◽  
Author(s):  
Nancy R. Zhang ◽  
Benjamin Yakir ◽  
Li C. Xia ◽  
David Siegmund

1989 ◽  
Vol 21 (03) ◽  
pp. 491-512
Author(s):  
B. Gail Ivanoff

We consider a multitype branching random walk with independent Poisson random fields of each type of particle initially. The existence of limiting random fields as the generation number, is studied, when the intensity of the initial field is renormalized in such a way that the mean measures converge. Spatial laws of large numbers and central limit theorems are given for the limiting random field, when it is non-trivial.


2001 ◽  
Vol 29 (4) ◽  
pp. 1405-1425
Author(s):  
Thomas M. Liggett ◽  
Alexander E. Holroyd

1989 ◽  
Vol 21 (3) ◽  
pp. 491-512 ◽  
Author(s):  
B. Gail Ivanoff

We consider a multitype branching random walk with independent Poisson random fields of each type of particle initially. The existence of limiting random fields as the generation number, is studied, when the intensity of the initial field is renormalized in such a way that the mean measures converge. Spatial laws of large numbers and central limit theorems are given for the limiting random field, when it is non-trivial.


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