Supercritical age-dependent branching Markov processes and their scaling limits

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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