50 citations · 132 across the 27 of their papers we have counts for
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math.PR2009★ 2 cited
Exponential rate of almost sure convergence of intrinsic martingales in supercritical branching random walks
A. Iksanov, M. Meiners
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…
math.PR2009★ 7 cited
A min-type stochastic fixed-point equation related to the smoothing transformation
Gerold Alsmeyer, Matthias Meiners
This paper is devoted to the study of the stochastic fixed-point equation X \stackrel{d}{=} \inf_{i \geq 1: T_i > 0} X_i/T_i and the connection with its additive counterpart $X \st…
math.PR2009★ 50 cited
The functional equation of the smoothing transform
Gerold Alsmeyer, J. D. Biggins, Matthias Meiners
Given a sequence of nonnegative random variables, a function f on the positive halfline can be transformed to . We study the fix…