Large deviations for the right-most position of a last progeny modified branching random walk

DOI10.1214/22-ECP446zbMath1483.60043arXiv2106.08093OpenAlexW3170542271MaRDI QIDQ2078118

Yanyan Li

Publication date: 25 February 2022

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

Full work available at URL: https://arxiv.org/abs/2106.08093

zbMATH Keywords

large deviationsbranching random walk

Mathematics Subject Classification ID

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

Cites Work

• Large deviations techniques and applications.
• Postulates for subadditive processes
• The first birth problem for an age-dependent branching process
• Large deviations for the maximum of a branching random walk
• Large deviations for the rightmost position in a branching Brownian motion
• Lower deviation and moderate deviation probabilities for maximum of a branching random walk
• The first- and last-birth problems for a multitype age-dependent branching process
• Conjugates and Legendre Transforms of Convex Functions

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