Branching random walk in Z^4 with branching at the origin only - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2010

Branching random walk in Z^4 with branching at the origin only

Résumé

For the critical branching random walk in $\mathbb{Z}^{4}$ with branching at the origin only we find the asymptotic behavior of the probability of the event that there are particles at the origin at moment $t\rightarrow \infty $ and prove a Yaglom type conditional limit theorem for the number of individuals at the origin given that there are particles at the origin.

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Dates et versions

hal-00492684 , version 1 (16-06-2010)

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Yueyun Hu, Valentin Topchii, Vladimir Vatutin. Branching random walk in Z^4 with branching at the origin only. 2010. ⟨hal-00492684⟩
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