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Martingale convergence and the functional equation in the multi-type branching random walk

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Publication:5951610
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DOI10.2307/3318727zbMath1017.60090OpenAlexW2028077740MaRDI QIDQ5951610

Andreas E. Kyprianou, A. Rahimzadeh Sani

Publication date: 11 August 2003

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://dspace.library.uu.nl/handle/1874/1931


zbMATH Keywords

functional equationmartingale convergencemultitype branching random walksize-biased measures


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


Related Items (7)

The fixed points of the multivariate smoothing transform ⋮ Measure change in multitype branching ⋮ A class of multifractal processes constructed using an embedded branching process ⋮ Random networks with sublinear preferential attachment: the giant component ⋮ Convergence results on multitype, multivariate branching random walks ⋮ Rate of convergence in the law of large numbers for supercritical general multi-type branching processes ⋮ Moments for multidimensional Mandelbrot cascades




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