快速搅拌下雌雄异株分枝粒子系统的稳态分布
Stationary distribution for dioecious branching particle systems with rapid stirring
摘要:
我们研究雌雄异株(即,两性)分支粒子系统模型,其中存在两种类型的粒子,对男性和女性群体进行建模,并且其中新粒子的诞生需要男性和女性粒子两者的存在。我们表明,在一定条件下,例如,当有足够快的搅拌时,各种雌雄异株的分支粒子模型的平稳分布是非平凡的。
英文摘要:
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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