On the maximal displacement of subcritical branching random walks

DOI10.1007/s00440-016-0702-8zbMath1374.60170arXiv1509.08989OpenAlexW2963662409MaRDI QIDQ525107

Xinghua Zheng, Eyal Neuman

Publication date: 28 April 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08989

zbMATH Keywords

thresholdstail behaviorexponential decaybranching random walksubcriticalitysupercriticalityfinite range of jumpsrightmost position

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)

Related Items (6)

Large deviation principle for the maximal positions in critical branching random walks with small drifts ⋮ Random walk on barely supercritical branching random walk ⋮ On the maximal displacement of catalytic branching random walk ⋮ On the maximal offspring in a subcritical branching process ⋮ Lower deviation and moderate deviation probabilities for maximum of a branching random walk ⋮ On the maximal displacement of near-critical branching random walks

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