Supercritical age-dependent branching Markov processes and their scaling limits
Athreya, Krishna B. ; Athreya, Siva R. ; Iyer, Srikanth K.
Bernoulli, Tome 17 (2011) no. 1, p. 138-154 / Harvested from Project Euclid
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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.
Publié le : 2011-02-15
Classification:  age-dependent,  ancestral times,  branching,  empirical distribution,  supercritical 
@article{1297173836,
     author = {Athreya, Krishna B. and Athreya, Siva R. and Iyer, Srikanth K.},
     title = {Supercritical age-dependent branching Markov processes and their scaling limits},
     journal = {Bernoulli},
     volume = {17},
     number = {1},
     year = {2011},
     pages = { 138-154},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1297173836}
}

Athreya, Krishna B.; Athreya, Siva R.; Iyer, Srikanth K. Supercritical age-dependent branching Markov processes and their scaling limits. Bernoulli, Tome 17 (2011) no. 1, pp.  138-154. http://gdmltest.u-ga.fr/item/1297173836/