标题： 对象聚类的建模 显示英文标题

标题： Modeling the Clustering of Objects

摘要： 我回顾了迄今为止为构建描述引力不稳定场景下束缚并致密化的物体或晕轮生长历史的（半）解析模型所取得的主要步骤。 我主要关注那些依赖球形坍缩近似的模型，这些模型已经导致了最完整的描述。 我强调每个模型的不同假设，并概述它们的主要优点和缺点。 这项工作分为两个部分：第一部分处理天体的质量函数理论，第二部分处理典型的生长时间和速率。 特别注意一个新的模型，该模型在实际区分吸积和合并事件方面做出了贡献。 显示英文摘要

摘要： I review the main steps made so far towards the construction of a (semi) analytical model for describing the growth history of bound virialized objects or haloes in the gravitational instability scenario. I mainly focus on those models relying on the spherical collapse approximation which have led to the most complete description. I insist on the different assumptions of each model and outline their main advantages and shortcomings. The work is divided in two parts: a first one dealing with the theoretical mass function of objects, and a second one dealing with the typical growth times and rates. Particular attention is paid to a new model making the practical distinction between accretion and merger events.