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Critical Age Dependent Branching Markov Processes and Their Scaling Limits

Research paper by Krishna Athreya, Siva Athreya, Srikanth Iyer

Indexed on: 23 Jan '07Published on: 23 Jan '07Published in: Mathematics - Probability



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.