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arxiv: math/0701661 · v1 · submitted 2007-01-24 · 🧮 math.PR

Critical Age Dependent Branching Markov Processes and Their Scaling Limits

classification 🧮 math.PR
keywords branchingcriticaldependentmarkovbehaviourbrownianconditioneddistribution
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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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