Large deviations for the maximum of a branching random walk with stretched exponential tails

DOI10.1214/20-ECP353zbMath1470.60084arXiv2006.09207WikidataQ115517704 ScholiaQ115517704MaRDI QIDQ829358

Nina Gantert, Piotr Dyszewski, Thomas Höfelsauer

Publication date: 5 May 2021

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09207

zbMATH Keywords

large deviationsbranching random walkstretched exponential random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

First hitting time of a high level by a catalytic branching walk ⋮ The maximum of a branching random walk with stretched exponential tails ⋮ Large‐scale asymptotics of velocity‐jump processes and nonlocal Hamilton–Jacobi equations ⋮ Large deviations of extremes in branching random walk with regularly varying displacements ⋮ Large deviations at the transition for sums of Weibull-like random variables

Cites Work

• Unnamed Item
• Large deviations for weighted sums of stretched exponential random variables
• Lower deviation probabilities for supercritical Galton-Watson processes
• Large deviations for random walks under subexponentiality: The big-jump domain
• Large deviations techniques and applications.
• Precise estimates of presence probabilities in the branching random walk
• Postulates for subadditive processes
• The first birth problem for an age-dependent branching process
• Large deviations for the maximum of a branching random walk
• The maximum of a branching random walk with semiexponential increments
• Lower deviation and moderate deviation probabilities for maximum of a branching random walk
• On large deviation probabilities for empirical distribution of supercritical branching random walks with unbounded displacements
• Large deviations for the empirical distribution in the branching random walk
• The first- and last-birth problems for a multitype age-dependent branching process
• Integral Limit Theorems Taking Large Deviations into Account when Cramér’s Condition Does Not Hold. I
• Large deviation estimates for branching random walks