Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks
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Publication:3578679
DOI10.1239/JAP/1276784906zbMATH Open1203.60129arXiv0910.4246OpenAlexW2964225850MaRDI QIDQ3578679
Author name not available (Why is that?)
Publication date: 20 July 2010
Published in: (Search for Journal in Brave)
Abstract: We provide sufficient conditions which ensure that the intrinsic martingale in the supercritical branching random walk converges exponentially fast to its limit. The case of Galton-Watson processes is particularly included so that our results can be seen as a generalization of a result given in the classical treatise by Asmussen and Hering. As an auxiliary tool, we prove ultimate versions of two results concerning the exponential renewal measures which may be interesting on its own and which correct, generalize and simplify some earlier works.
Full work available at URL: https://arxiv.org/abs/0910.4246
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