论文标题
基于等级的取代过程的新兴中心性
Emergent centrality in rank-based supplanting process
论文作者
论文摘要
我们提出了一个与许多代理相互作用的随机过程，该过程的灵感来自基于等级的取代动力学，通常在一组日本猕猴中观察到。为了表征置换对称性在随机过程中的级别中的破坏对称性，我们引入了一个依赖等级的数量，重叠中心性，这量化给定代理与其他代理重叠的频率频率。我们在广泛的模型中提供了足够的条件，以使重叠中心性在零支持限制中的标准中显示出完美的相关性。在Potts能量引起的相互作用的情况下，我们还讨论了相关性的奇异性。
We propose a stochastic process of interacting many agents, which is inspired by rank-based supplanting dynamics commonly observed in a group of Japanese macaques. In order to characterize the breaking of permutation symmetry with respect to agents' rank in the stochastic process, we introduce a rank-dependent quantity, overlap centrality, which quantifies how often a given agent overlaps with the other agents. We give a sufficient condition in a wide class of the models such that overlap centrality shows perfect correlation in terms of the agents' rank in zero-supplanting limit. We also discuss a singularity of the correlation in the case of interaction induced by a Potts energy.
