Convergence results on multitype, multivariate branching random walks

DOI10.1239/aap/1127483742zbMath1076.60072OpenAlexW2048794744MaRDI QIDQ5697197

J. D. Biggins, A. Rahimzadeh Sani

Publication date: 17 October 2005

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1127483742

zbMATH Keywords

Laplace transformsaddlepoint approximationuniform convergencelarge deviationnonnegative matrixmartingalelocal limit theoremmultitype branching random walkPerron-Frobenius

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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On a coloured tree with non i.i.d. random labels ⋮ A class of multifractal processes constructed using an embedded branching process ⋮ Limits of any society ⋮ Survival, extinction and approximation of discrete-time branching random walks ⋮ Convergence results on multitype, multivariate branching random walks ⋮ Random environment on coloured trees ⋮ Spreading speeds in reducible multitype branching random walk ⋮ Strong Local Survival of Branching Random Walks is Not Monotone ⋮ Cones and gauges in complex spaces: spectral gaps and complex Perron-Frobenius theory ⋮ Extremes of multitype branching random walks: heaviest tail wins ⋮ Moments for multidimensional Mandelbrot cascades

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