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Critical age-dependent branching Markov processes and their scaling limits |
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| Authors: | Krishna B Athreya Siva R Athreya Srikanth K Iyer |
| Institution: | 1.Department of Mathematics and Statistics,Iowa State University,Ames,USA;2.Indian Statistical Institute,Bangalore,India;3.Department of Mathematics,Indian Institute of Science,Bangalore,India |
| Abstract: | 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 agedependent critical branching Brownian motions. |
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