Mathematics – Probability
Scientific paper
2007-10-29
Annals of Applied Probability 2007, Vol. 17, No. 5-6, 1508-1537
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/105051607000000276 the Annals of Applied Probability (http://www.imstat.org/aap/) by
Scientific paper
10.1214/105051607000000276
We study dioecious (i.e., two-sex) branching particle system models, where there are two types of particles, modeling the male and female populations, and where birth of new particles requires the presence of both male and female particles. We show that stationary distributions of various dioecious branching particle models are nontrivial under certain conditions, for example, when there is sufficiently fast stirring.
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