critical branching random walk
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Author(s):  
Omer Angel ◽  
Tom Hutchcroft ◽  
Antal Járai

Abstract Consider a critical branching random walk on $$\mathbb Z^d$$ Z d , $$d\ge 1$$ d ≥ 1 , started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment.











2012 ◽  
Vol 27 (3) ◽  
pp. 878-898 ◽  
Author(s):  
Ekaterina Vladimirovna Bulinskaya




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