Athreya, Krishna B. ; Athreya, Siva R. ; Iyer, Srikanth K. (2011) Supercritical age-dependent branching Markov processes and their scaling limits Bernoulli, 17 (1). pp. 138-154. ISSN 1350-7265
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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→∞ to a deterministic product measure.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to International Statistical Institute. |
| ID Code: | 99323 |
| Deposited On: | 28 Mar 2016 10:23 |
| Last Modified: | 28 Mar 2016 10:23 |
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