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Critical age-dependent branching Markov processes and their scaling limits

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, Iowa State University, Ames, Iowa, 50011, USA

    Krishna B. Athreya

  2. Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore, 560 059, India

    Siva R. Athreya

  3. Department of Mathematics, Indian Institute of Science, Bangalore, 560 012, India

    Krishna B. Athreya & Srikanth K. Iyer

Authors
  1. Krishna B. Athreya
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  2. Siva R. Athreya
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  3. Srikanth K. Iyer
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Correspondence to Krishna B. Athreya.

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Athreya, K.B., Athreya, S.R. & Iyer, S.K. Critical age-dependent branching Markov processes and their scaling limits. Proc Math Sci 120, 363–385 (2010). https://doi.org/10.1007/s12044-010-0028-x

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  • DOI: https://doi.org/10.1007/s12044-010-0028-x

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