论文标题
退化竞争的三粒子系统
Degenerate Competing Three-Particle Systems
论文作者
论文摘要
我们研究了三个相互作用粒子的系统，其中漂移和方差按等级分配。这些系统是“退化”：对应于一个或两个等级的方差可能会消失，因此相应的排名动作变为弹道而不是扩散。根据允许哪些等级“弹道”，系统表现出明显不同的行为，我们将详细研究。还研究了连续等级之间产生的差距的平面过程的稳定性。
We study systems of three interacting particles, in which drifts and variances are assigned by rank. These systems are "degenerate": the variances corresponding to one or two ranks can vanish, so the corresponding ranked motions become ballistic rather than diffusive. Depending on which ranks are allowed to "go ballistic" the systems exhibit markedly different behavior which we study in some detail. Also studied are stability properties for the resulting planar process of gaps between successive ranks.
