Stationary distribution for dioecious branching particle systems with rapid stirring
Yu, Feng
Ann. Appl. Probab., Tome 17 (2007) no. 1, p. 1508-1537 / Harvested from Project Euclid
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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.
Publié le : 2007-10-14
Classification:  Particle system,  sexual reproduction model,  hydrodynamic limit,  reaction-diffusion equation,  92D15,  35K57,  60J05,  82C22 
@article{1191419174,
     author = {Yu, Feng},
     title = {Stationary distribution for dioecious branching particle systems with rapid stirring},
     journal = {Ann. Appl. Probab.},
     volume = {17},
     number = {1},
     year = {2007},
     pages = { 1508-1537},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1191419174}
}

Yu, Feng. Stationary distribution for dioecious branching particle systems with rapid stirring. Ann. Appl. Probab., Tome 17 (2007) no. 1, pp.  1508-1537. http://gdmltest.u-ga.fr/item/1191419174/