Strong law of large number for branching Hunt processes

2014/10/19 by Li Wang, Wang, Li
Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1410.5054

openalex publication_date 2014/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that, under certain conditions, a strong law of large number holds for a class of branching particle systems X corresponding to the parameters (Y,β,ψ), where Y is a Hunt process and ψ is the generating function for the offspring. The main tool of this paper is the spine decomposition and we only need a Llog L condition.

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