Athreya, Krishna B. ; Athreya, Siva R. ; Iyer, Srikanth K. (2011) Supercritical age-dependent branching Markov processes and their scaling limits Bernoulli, 17 (1). ISSN 1350-7265
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Official URL: http://doi.org/10.3150/10-BEJ264
Related URL: http://dx.doi.org/10.3150/10-BEJ264
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 Bernoulli Society for Mathematical Statistics and Probability |
| Keywords: | age-dependent , ancestral times , branching , Empirical distribution , supercritical |
| ID Code: | 131593 |
| Deposited On: | 07 Dec 2022 08:41 |
| Last Modified: | 07 Dec 2022 08:41 |
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