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An Almost-Sure Renewal Theorem for Branching Random Walks on the Line
Published online by Cambridge University Press: 14 July 2016
Abstract
In the present paper an almost-sure renewal theorem for branching random walks (BRWs) on the real line is formulated and established. The theorem constitutes a generalization of Nerman's theorem on the almost-sure convergence of Malthus normed supercritical Crump-Mode-Jagers branching processes counted with general characteristic and Gatouras' almost-sure renewal theorem for BRWs on a lattice.
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- Research Article
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- Copyright © Applied Probability Trust 2010
Footnotes
Research supported by DFG grant Me 3625/1-1.
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