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Age-dependent; branching; ancestoral times; measure-valued; empirical distribution.

This paper studies: (i) the long-time behaviour of the empirical distribution of age and normalized 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.

Krishna B Athreya^{1 2} Siva R Athreya³ Srikanth K Iyer²

1. Department of Mathematics and Statistics, Iowa State University, Ames, Iowa 50011, USA
2. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
3. Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore 560 059, India

Published

June 2010

Manuscript received

12 June 2009

Manuscript revised

15 March 2010