A Simple Path to Biggins' Martingale Convergence for Branching Random Walk

1998/03/23 by Russell Lyons · 1 citation
Mathematics · #math.PR #msc:60J80

paper · pdf

published as Classical and Modern Branching Processes, K. Athreya and P. Jagers (editors), Springer, New York, 1997, pp. 217--222

arxiv created 1998/03/23 · arxiv updated 2009/11/30

Abstract

We give a simple non-analytic proof of Biggins' theorem on martingale convergence for branching random walks.

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• Large Deviations of First Passage Times of Branching Random Walks in ℝ^d: Asymptotics and Algorithms

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