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February 2011 Supercritical age-dependent branching Markov processes and their scaling limits
Krishna B. Athreya, Siva R. Athreya, Srikanth K. Iyer
Bernoulli 17(1): 138-154 (February 2011). DOI: 10.3150/10-BEJ264


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.


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Krishna B. Athreya. Siva R. Athreya. Srikanth K. Iyer. "Supercritical age-dependent branching Markov processes and their scaling limits." Bernoulli 17 (1) 138 - 154, February 2011.


Published: February 2011
First available in Project Euclid: 8 February 2011

zbMATH: 1284.60155
MathSciNet: MR2797985
Digital Object Identifier: 10.3150/10-BEJ264

Keywords: age-dependent , ancestral times , branching , Empirical distribution , supercritical

Rights: Copyright © 2011 Bernoulli Society for Mathematical Statistics and Probability

Vol.17 • No. 1 • February 2011
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