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arxiv: math/0409502 · v1 · pith:YGAQKPWVnew · submitted 2004-09-26 · 🧮 math.PR

Large time asymptotics for the density of a branching Wiener process

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keywords branchingprocesstimewienerasymptoticasymptoticschencomplete
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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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