Chapter

Classical and Modern Branching Processes

Volume 84 of the series The IMA Volumes in Mathematics and its Applications pp 217-221

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

  • Russell LyonsAffiliated withDepartment of Mathematics, Indiana University

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Abstract

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

Key words

Galton-Watson