Large-time asymptotics for the density of a branching Wiener process

DOI10.1239/jap/1134587818zbMath1113.60035arXivmath/0409502OpenAlexW2048206144MaRDI QIDQ5476150

Zhan Shi, Pál Révész, Jay S. Rosen

Publication date: 29 June 2006

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409502

zbMATH Keywords

martingalesbranching Wiener processdistribution of particles

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Asymptotic expansions in the central limit theorem for a branching Wiener process ⋮ A second order asymptotic expansion in the local limit theorem for a simple branching random walk in \(\mathbb{Z}^d\) ⋮ Asymptotic expansions in the local limit theorem for a branching Wiener process ⋮ Edgeworth expansions for profiles of lattice branching random walks ⋮ Exact convergence rates for particle distributions in a non-lattice branching random walk ⋮ Exact convergence rate of the local limit theorem for branching random walks on the integer lattice ⋮ Exact convergence rates in central limit theorems for a branching random walk with a random environment in time

Cites Work

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• Uniform convergence of martingales in the branching random walk
• Exact convergence rates for the distribution of particles in branching random walks
• A prediction problem of the branching random walk

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