Infinitely ramified point measures and branching Lévy processes

DOI10.1214/18-AOP1292zbMath1456.60225arXiv1703.08078OpenAlexW3104241587MaRDI QIDQ2421824

Bastien Mallein, Jean Bertoin

Publication date: 18 June 2019

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08078

zbMATH Keywords

Lévy processbranching random walkgrowth-fragmentationinfinitely ramified point measure

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (10)

Scaling limits of branching random walks and branching-stable processes ⋮ A growth-fragmentation model related to Ornstein-Uhlenbeck type processes ⋮ A growth-fragmentation model connected to the ricocheted stable process ⋮ Branching-stable point measures and processes ⋮ A result on power moments of L\'evy-type perpetuities and its application to the $L_p$-convergence of Biggins' martingales in branching L\'evy processes ⋮ Probability tilting of compensated fragmentations ⋮ Barak-Erdős graphs and the infinite-bin model ⋮ On the branching convolution equation \(\mathcal{E}=\mathcal{Z}\circledast \mathcal{E} \) ⋮ Fragmentations with self-similar branching speeds ⋮ A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process

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