Right-most position of a last progeny modified time inhomogeneous branching random walk

DOI10.1016/j.spl.2022.109697zbMath1503.60132arXiv2110.04532OpenAlexW3205021752MaRDI QIDQ2105363

Yanyan Li

Publication date: 8 December 2022

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04532

zbMATH Keywords

branching random walksmoothing transformationtime inhomogeneous environmentsdecorated Poisson point processmaximum operator

Mathematics Subject Classification ID

Applications of branching processes (60J85) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Convergence in law of the minimum of a branching random walk
• Branching random walks in time inhomogeneous environments
• Convergence in law for the branching random walk seen from its tip
• A branching random walk seen from the tip
• Tightness for a family of recursion equations
• Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
• Postulates for subadditive processes
• The first birth problem for an age-dependent branching process
• Seneta-Heyde norming in the branching random walk
• Minima in branching random walks
• The Seneta-Heyde scaling for the branching random walk
• Tightness for Maxima of Generalized Branching Random Walks
• The first- and last-birth problems for a multitype age-dependent branching process
• Minimal displacement of branching random walk
• Tightness for the minimal displacement of branching random walk
• Inequalities for the Law of Large Numbers
• An Introduction to the Theory of Point Processes

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