标题： 选择领袖模型中的部分序概念 显示英文标题

标题： A notion of partial order in the Choose the Leader model

摘要： 在本工作中，我们继续研究多元素系统中的非混沌渐近关联，并讨论了一个新的渐近关联概念——部分序——在选择领导者（CL）系统中的出现。 类似于新定义的序的概念，部分序指的是系统中元素的对齐——尽管它允许偏离完全一致。 我们提出的工作围绕部分序的定义展开，并展示了它在原始临界尺度下的CL模型中的出现。 此外，我们讨论了部分序在CL模型中的传播，并给出了对该状态收敛的定量估计。 这一新概念（以及序的概念）为以更现实的方式探索生物和社会性质的旧的和新的（概率）模型打开了大门。 显示英文摘要

摘要： In this work we continue the study of non-chaotic asymptotic correlations in many element systems and discuss the emergence of a new notion of asymptotic correlation -- partial order -- in the Choose the Leader (CL) system. Similarly to the newly defined notion of order, partial order refers to alignment of the elements in the system -- though it allows for deviation from total adherence. Our presented work revolves around the definition of partial order and shows its emergence in the CL model in its original critical scaling. Furthermore, we discuss the propagation of partial order in the CL model and give a quantitative estimate to the convergence to this state. This new notion (as well as that of order) opens the door to exploring old and new (probabilistic) models of biological and societal nature in a more realistic way.