Llog L condition for supercritical branching Hunt processes

2010/09/22 by Rong-Li Liu, Liu, Rong-Li, Yan-Xia Ren +3 · 2 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #60F15 #FOS: Mathematics #Primary 60J80 #Probability (math.PR) #Secondary 60J25 #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60F15 #msc:60J25 #msc:60J80

paper · pdf · doi:10.48550/arxiv.1009.4481

arxiv created 2010/09/22 · openalex publication_date 2010/09/22 · arxiv updated 2010/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we use the spine decomposition and martingale change of measure to establish a Kesten-Stigum Llog L theorem for branching Hunt processes. This result is a generalization of the results in Asmussen-Hering (1976) and Hering (1978) for branching diffusions.

Cited by

• From multitype branching Brownian motions to branching Markov additive processes
• Strong law of large number for branching Hunt processes

Related

• Conceptual Proofs of L log L Criteria
• Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates
• A new formulation of the spine approach to branching diffusions
• Strong law of large numbers and L log L condition for supercritical branching processes
• Strong law of large number for branching Hunt processes