Point process convergence for branching random walks with regularly varying steps

DOI10.1214/15-AIHP737zbMath1386.60289arXiv1411.5646OpenAlexW2962922858MaRDI QIDQ2357270

Ayan Bhattacharya, Rajat Subhra Hazra, Parthanil Roy

Publication date: 13 June 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5646

zbMATH Keywords

regular variationpoint processextreme value theorymaximabranching random walkGalton-Watson process

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Scaling limits of branching random walks and branching-stable processes ⋮ Branching random walks, stable point processes and regular variation ⋮ Branching random walk with infinite progeny mean: a tale of two tails ⋮ The maximum of a branching random walk with stretched exponential tails ⋮ Large deviations of extremes in branching random walk with regularly varying displacements ⋮ Stable-like fluctuations of Biggins' martingales ⋮ Extremes of multitype branching random walks: heaviest tail wins ⋮ Stable random fields indexed by finitely generated free groups ⋮ Maximal displacement of branching symmetric stable processes

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