Fixed points of multivariate smoothing transforms with scalar weights

zbMath1341.60022arXiv1402.4147MaRDI QIDQ5248339

Matthias Meiners, Aleksander M. Iksanov

Publication date: 7 May 2015

Full work available at URL: https://arxiv.org/abs/1402.4147

zbMATH Keywords

fixed pointscharacteristic functionsinfinite divisibilitymultitype branching random walkmultiplicative martingalesweighted branching processmultivariate smoothing transform

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Martingales with discrete parameter (60G42) Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) General theory of stochastic processes (60G07) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional equations for complex functions (39B32)

Related Items (5)

Solutions to complex smoothing equations ⋮ The fixed points of the multivariate smoothing transform ⋮ The Weighted Branching Process ⋮ The phase diagram of the complex branching Brownian motion energy model ⋮ On the derivative martingale in a branching random walk

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