Exponential rate of L_p-convergence of intrinsic martingales in supercritical branching random walks

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dc.creatorAlsmeyer, Gerold
dc.creatorIksanov, Alex
dc.creatorPolotsky, Sergej
dc.creatorRoesler, Uwe
dc.date2009-03-23
dc.date.accessioned2026-07-07T12:55:45Z
dc.date.available2026-07-07T12:55:45Z
dc.descriptionLet $W_n, n\in\mn_{0}$ be an intrinsic martingale with almost sure limit $W$ in a supercritical branching random walk. We provide criteria for the $L_p$-convergence of the series $\sum_{n\ge 0} e^{an}(W-W_n)$ for $p>1$ and $a>0$. The result may be viewed as a statement about the exponential rate of convergence of $\me |W-W_n|^p$ to zero.
dc.identifierhttps://arxiv.org/abs/0903.3935
dc.identifierhttp://arxiv.org/abs/0903.3935
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224356
dc.subjectProbability
dc.subject60J80; 60F25
dc.titleExponential rate of L_p-convergence of intrinsic martingales in supercritical branching random walks
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