AI 中文总结
本文在标准ΛCDM框架下综述宇宙网的分形性质，介绍分形函数的推导方式，讨论相关描述方法间的关系。
AI 中文摘要
宇宙网是自然界中最复杂的系统之一，由星系和星系团通过纤维和壁连接而成，被称为宇宙空洞的巨大空旷区域分隔。描述宇宙网最常用的方法是关联函数及其导数——结构函数和分形维数函数。本文在标准ΛCDM框架下综述宇宙网的分形性质，描述分形函数如何从星系的角分布和空间分布推导而来，并讨论这些方法之间的关系。
英文摘要
The cosmic web is one of the most complex systems in nature, consisting of galaxies and clusters of galaxies connected by filaments and walls, and separated by large empty regions known as cosmic voids. The most common method for describing the web is the correlation function and its derivative, the structure function and fractal dimension function. In this paper I review the fractal properties of the cosmic web within the concordance ΛCDM framework. I describe how the fractal function is derived from the angular and spatial distributions of galaxies and discuss the relations between these approaches.
Comments16 pages, 8 figures. Paper presented at the Sixth Zeldovich meeting, an international conference in honour of Ya. B. Zeldovich, held in Pescara, Italy on July 13 -17, 2026. Submitted to Astronomy Reports
