Athreya, Krishna B and Athreya, Siva R and Iyer, Srikanth K (2011) Supercritical age-dependent branching Markov processes and their scaling limits. In: Bernoulli, 17 (1). pp. 138-154.
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Abstract
This paper studies the long-time behavior of the empirical distribution of age and normalized position of an age-dependent supercritical branching Markov process. The motion of each individual during its life is a random function of its age. It is shown that the empirical distribution of the age and the normalized position of all individuals alive at time t converges as t -> infinity to a deterministic product measure.
| Item Type: | Journal Article |
|---|---|
| Publication: | Bernoulli |
| Publisher: | Bernoulli Society for Mathematical Statistics and Probability |
| Additional Information: | Copyright of this article belongs to Bernoulli Society for Mathematical Statistics and Probability. |
| Keywords: | age-dependent; ancestral times; branching; empirical distribution; supercritical |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 23 Mar 2011 09:38 |
| Last Modified: | 23 Mar 2011 09:38 |
| URI: | http://eprints.iisc.ac.in/id/eprint/36224 |
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