Pointwise Dimension Analyses of the Las Campanas Redshift Survey

简而言之，宇宙学的基本目标之一就是尽可能准确地描述宇宙。为了做到这一点，宇宙的多个方面，包括过去和现在，必须完全建模。其中一些特征包括宇宙及其组成部分的年龄、密度、温度和范围。即将进行的研究将探索宇宙中物体的聚集。分形几何的现代动机可以用Benoit Mandelbrot的这句话来最好地概括：“山不是锥体，云不是球体，海岸线不是圆形，树皮不是光滑的，闪电也不是直线传播的。”用最简单的术语来说，分形是“在所有尺度上（近似）自相似的对象”。现代对分形重新燃起的兴趣，将其应用于宇宙大尺度结构的研究，为早在20世纪20年代c.v.l.查利尔（c.v.l. Charlier）的河外星云图中已经定性表达的思想提供了一个定量描述方案。拉斯坎帕纳斯红移调查，大约有26000个星系，有星系的位置和红移信息，这些数据将使用点维或PD方法进行研究。PD方法是一种易于使用的分形统计方法，与用于研究星系群集的传统方法相比具有许多优点。希望能收集到更多关于拉斯坎帕纳斯星表中星系环境的信息，这些结果可用于比较未来星表的研究结果。＊＊＊

AST-9808608 Best In simplest terms, one of the fundamental goals of cosmology is to describe the Universe as accurately as possible. In order to do this, the multiple aspects of the Universe, both past and present-day, must be completely modeled. Some of these characteristics include the age, density, temperature, and extent of the Universe and its components. The research to be carried out will explore the clustering of objects in the Universe. The modern motivation for fractal geometry may best be summed up by this quote of Benoit Mandelbrot: "Mountains are not cones, clouds are not spheres, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line." Fractals are, in simplest terms, "objects which are (approximately) self-similar on all scales". The renewed modern interest in fractals has led to applying it to the study of large-scale structure in the Universe, giving a quantitative descriptive scheme to ideas that had been expressed qualitatively as early as C. V. L. Charlier's map of extragalactic nebulae in the 1920s. The Las Campanas Redshift Survey, of about 26000 galaxies, has positional and redshift information on the galaxies and these data will be studied using the pointwise dimension, or PD method. The PD method is an easy-to-use fractal statistic which has numerous advantages over the more traditional methods used to study the clustering of galaxies. It is hoped that much information can be gleaned about the environments of the galaxies in the Las Campanas catalog and these results may be used for comparison of results of studies of future catalogs. ***