{ "id": "math/9803100", "version": "v1", "published": "1998-03-23T00:58:05.000Z", "updated": "1998-03-23T00:58:05.000Z", "title": "A Simple Path to Biggins' Martingale Convergence for Branching Random Walk", "authors": [ "Russell Lyons" ], "journal": "Classical and Modern Branching Processes, K. Athreya and P. Jagers (editors), Springer, New York, 1997, pp. 217--222", "categories": [ "math.PR" ], "abstract": "We give a simple non-analytic proof of Biggins' theorem on martingale convergence for branching random walks.", "revisions": [ { "version": "v1", "updated": "1998-03-23T00:58:05.000Z" } ], "analyses": { "subjects": [ "60J80" ], "keywords": [ "branching random walk", "martingale convergence", "simple path", "simple non-analytic proof" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......3100L" } } }