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Large time asymptotics for the density of a branching Wiener process

Pál Révész·Jay Rosen·Zhan Shi
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Abstract

Given an R^d-valued supercritical branching Wiener process, let D(A,T) be the number of particles in a subset A of R^d at time T, (T=0,1,2,...). We provide a complete asymptotic expansion of D(A,T) as T goes to infinity, generalizing the work of X.Chen.

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Pál Révész, Jay Rosen, Zhan Shi. 2004-09-26. Large time asymptotics for the density of a branching Wiener process. https://arxiv.org/abs/math/0409502

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