On the Generating Functional of the special case of S-Stopped Branching Processes

2011/08/08 by Ostap Okhrin, Okhrin, Ostap
Mathematics · #FOS: Mathematics #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1108.1675

accepted for publication in Visn. L'viv. Univ., Ser. Mekh.-Mat. (Bulletin of the Lviv University, Series in Mechanics and Mathematics)

arxiv created 2011/08/08 · openalex publication_date 2011/08/08 · arxiv updated 2011/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper starting process with the infinite number of types of particles μ(t) generate stopped branching process ξ(t), if by falling of the first one into the non empty set S process stops. Here we consider the generating functional of the upper defined process.

Related

• Tail generating functions for extendable branching processes
• Characterization of fixed points of infinite-dimensional generating functions
• Functional limit theorem for branching processes in nearly degenerate varying environment
• Parametrised branching processes: a functional version of Kesten & Stigum theorem
• Reduced two-type decomposable critical branching processes with possibly infinite variance