Critical Age Dependent Branching Markov Processes and Their Scaling Limits

2007/01/24 by Krishna B. Athreya, Krishna Athreya, Siva Athreya +5
Decision Sciences · Mathematics · Social Sciences · #60J80 #FOS: Mathematics #Insurance, Mortality, Demography, Risk Management #Probability (math.PR) #Probability and Risk Models #Stochastic processes and statistical mechanics #math.PR #msc:60J80

paper · pdf · doi:10.48550/arxiv.math/0701661

arxiv created 2007/01/24 · openalex publication_date 2007/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies: (i) the long time behaviour of the empirical distribution of age and normalised position of an age dependent critical branching Markov process conditioned on non-extinction; and (ii) the super-process limit of a sequence of age dependent critical branching Brownian motions.

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