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.Full text not available from this repository.
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|
|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|
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